Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

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Question 706474: I have been trying to figure this out on my own but it just isnt making any sense. Please help me solve this.
The cost of having a luncheon catered at McKenzie Place depends n the number of meals served plus a fixed fee to rent the dining room. The cost for 20 meals is $170 and the cost of 60 meals is $310.
a) find the cost per meal
b) find the cost to rent the dining room
c) write an equation for the total cost of the luncheon in the form y=mx+b


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Question 706507:
Parking in a student parking lot cost $2 dollar for the first half hour and 1.50 thereafter for each hour. A partical charge is the same has an full hour. What is the longest time a student can park for $10 dollars.

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Question 706509: audrey uses a slingshot to shoot a marble from a window.The height of the marble h(t) in feet at a time t seconds is given by the function h(t)=-16t^2-62t + 188.How many seconds elapse before the marble hits the ground?
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Question 706519:
a farmer owns a farm with chickens and pigs. the farmer counted 17 heads and 60 legs. how many chickens and pigs are there?
use systems of equations to solve this probelm algebrically

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Question 706519:
a farmer owns a farm with chickens and pigs. the farmer counted 17 heads and 60 legs. how many chickens and pigs are there?
use systems of equations to solve this probelm algebrically

Click here to see answer by checkley79(3341) About Me 
Question 706519:
a farmer owns a farm with chickens and pigs. the farmer counted 17 heads and 60 legs. how many chickens and pigs are there?
use systems of equations to solve this probelm algebrically

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Question 706524: Okay here's an example of a problem I need to solve and I can not figure it out with P.E.M.D.A.S I get really close but no sure answer can you work the problem out by showing work so I can follow how to do the rest of the problems I have like this?
3(5z-1)-2(z+1)=6(z+1)

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Question 706698: what would be a word problem for 5n-25

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Question 706706: Twice a number decreased by 3 is less than 12. One more than three times the same number is greater than 20. Find the number.
a) 5
b) 6
c) 7
d) 8
e) 9

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Question 706869: If 9 is added to twice a number and the sum is multiplied by 3 the result is the same as if the number is multiplied by 4 and 11 is added to the product what is the number
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Question 706874: A square has side length s, while an equilateral triangle has length s+1. Write and solve a system of linear equalities to determine the length of the side at which the perimeters of the triangle and the rectangle would be equal.
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Question 707058: A basketball player scored 25 times during one game. He scored a total of 48 points, two for each two-point shot and one for each free throw. How many two-point shots did he make? How many free throws?
___ two point shots
____ free throws

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Question 707001: What is an inequality equation that covers the entire number line?
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Question 707095: A farmer buys 100 animals for $100.00. The animals include at least one cow, one pig, and one chicken, but no other kind. If a cow costs $5.00, a pig costs $1.00, and a chicken costs $0.50, how many of each did he buy?
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Question 707082: sonny is twice as old as james. Four years ago he was four times as old as wale. When will the sum of their ages be 66?
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Question 707258: the sum of two numbers is 62, the greater number exceeds twice the smaller number by 5. what are the two numbers?
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Question 707395: latanya and her friends rented a canoe for 3 hours and paid a total of 45 dollars. Write a linear equation to find the total cost C of renting the canoe for H hours.
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Question 707434: Dale and Roger complete a job in 6 hours. It would take Dale 9 hours longer than Roger to do the job alone. How long would it take Roger alone? my teacher got 9hours but im not getting 9hrs.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 707311: Help please!
In a game, 12 out of a baseball team's 27 outs were fly balls. 25% of the outs were made by infielders and 100% of the outs made by outfielders were fly balls.
Write a linear system you can use to findt the number of outs made by infielders and the number of outs made by outfielders. (Hint: write one equation for the total number of outs and another for the number of fly ball outs.)
Graph your linear system.
How many outs were made by infielders? How many outs were made by outfielders?
Thank you so much for your help! I really appreciate it!

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 707592: It takes 36 days for 27 people, who are all working together at the same rate, to build a house. How long would it take 9 people to build the house?
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Question 707592: It takes 36 days for 27 people, who are all working together at the same rate, to build a house. How long would it take 9 people to build the house?
Click here to see answer by josgarithmetic(39799) About Me 

Question 707704: Admission to an amusement park is 8 dollars for adults and 5 dollars for children.if 201 was paid for 33 tickets, how many of each were purchased
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Question 707704: Admission to an amusement park is 8 dollars for adults and 5 dollars for children.if 201 was paid for 33 tickets, how many of each were purchased
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Question 707805:
A shop owner has 40 pounds of cashews worth $8 per pound and peanuts worth $2 per pound. How many pounds of peanuts should the owner mix with the 40 pounds of cashews to make a mixture worth $4 per pound?
Tried using a system of equations, but need some help. Thank you.

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Question 707771:
if 2 1/2 kg of beef is sold for $40.00 calculate at this time the same rate,the cost of 6 kg of beef

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Question 708256: The sum of these numbers is -4. The second number decreased by the third is equal to the first. The sum of the first and second number is -5. Find the numbers.
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Question 708575: PLEASE HELP solve the system linear equations. Solve for variables x and y:
4x-3y=4
2x+y=-8
Please show me how to do this problem.

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Question 708620: A carnival made exactly 200$ in one afternoon. Tickets for adults cost $20. Tickets for children cost $15. How many combinations of adult and children's tickets could have been sold? What are the combinations.
Please help & show how you got the answer, I have been stuck on this question for over an hour and its driving me crazy !!!

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Question 708875: The function F(s) = s3 represents the volume of a cube with side length s. Which of the following best describes the function?























































































neither continuous nor noncontinuous




noncontinuous only




both continuous and noncontinuous




continuous only

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Question 708873: One store offers 10 soccer balls and 2 soccer ball bags for 155 dollars. Another store offers 12 soccer balls and 3 soccer ball bags for 189 dollars. Write and solve a linear equation to find out how much one soccer ball and one bag costs.
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Question 709174:

The sum of 2 consecutive numbers is 14 less than the product of 3 and the smaller number.
What is the smallest of these integers?

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Question 709142:
a first number plus twice a second number is 8. twice the first number plus the second totals 13.

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Question 709293: Each year, every member of a club pays an equal amount to raise $63.00 for supplies. this year, there is one more person in the club than there was last year. Each member pays $0.70 less than they did last year. What did each member have to pay last year?
I know X is member that paid last year
X+1 is member who paid this year
Y is the money from last year
Y-.70 is what members paid this year.
I don't know how to set it up, or solve it

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Question 709579: After being discounted 25%, a radio sells for $44.44.Find the original price.
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Question 710043: i am having trouble with this one. Can you please help me?
in a certain year a state government collected $17 billion in taxes. if the state had 10,000,000 residents, what was the per capita tax burden, or the amount that each citzen of the state paid in taxes? Round to the nearest hundred dollars.

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Question 710040:
The difference of 2 numbers is 0. the difference between 4 times the first number and thrice the second number is 20. Find the numbers

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Question 710037: The sum of the digits of a 2 digit number is 6. The second digit is twice the first digit. Find the 2 digit number
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Question 710182: "Two numbers differ by 12. The larger number is twice the sum of the two numbers. Which of the following could NOT represent the situation?"
A. L - S = 12
B. 2L = L + S
C. L = 2(L + S)
D.L = 12 + S

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Question 710365: The Sum of the ages of the three Romano brothers is 63. If their ages can be represented as consecutive integers, what is the age of the middle brother?
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Question 711069: If agnes is three times as old and joseph and their combined ages is 64, how old is agnes
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Question 711659: If a plane can travel 490 miles per hour with the wind and 430 miles per hour against the wind, find the speed of the plane in still air.
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Question 712230: PLEASE help me with this!
A group of students is going on a field trip. If the group takes 3 vans and 1 car, 22 students can be transported. If the group takes 2 vans and 4 cars, 28 students can be transported. How many students can fit in each van?
I have come up with the equation 3v+1c=22 and 2v+4c=28. Im not sure if these are correct? PLEASE help! Thank you!

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Question 712354: A truck enters a highway driving 60 mph. A car enters the highway at the same place 11 minutes later and drives 65 mph in the same direction. From the time the car enters the highway, how long will it take the car to pass the truck?
This is what I was able to do so far:
t = the number of minutes from when the car enters the highway until the car passes the truck
Convert minutes to hours: t minutes = t/60 hrs
Car: D =(speed of car)(time the car travels)
D = 65 * t/60
Truck: D = (speed of truck)(time the truck travels)
D = 60 * t+11/60
And this is where I got stuck:
65 * t/60 = 60 * t+11/60
t = ?????
I don't know where to start in order to solve for t. Your assistance will be appreciated!










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Question 712598: the first number is 5 less than 3 times the second number. Twice the first number plus the second number is 137. find the two numbers.
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Question 712777: A student has scores of 68.75, 69, and 71.25 on his first three tests. He needs an average of at least 70 to earn a grade of C. What is the minimum score that the student needs on the fourth test to ensure a C?
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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