Questions on Word Problems: Translating English into Algebreze answered by real tutors!

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Question 210463: Archie's gas tank is 1/3 full. If Archie adds 3 gallons of gas to the tank it will be 1/2 full. what is the capacity in gallons of Archie's tank?
Click here to see answer by ankor@dixie-net.com(22740)

Question 211261: A board 170 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. Find the length of the shorter piece of board
Click here to see answer by rfer(16322)

Question 211262: Find three consecutive integers such that the sum of the first plus one-third of the second plus three-fourths of the third is 31.
Click here to see answer by stanbon(75887)

Question 211472: a woman makes 15% more than her husband.Together they make 69,875 per year. what is the husbands annual salary?
Click here to see answer by math problem solving(30)

Question 212113: YOU PAY A TOLL IN EITHER ALL QUARTERS OR ALL DIMES. THE TOLL IS 3 MORE DIMES THAN QUARTERS. WHAT IS THE TOLL?
Click here to see answer by vleith(2983)

Question 212113: YOU PAY A TOLL IN EITHER ALL QUARTERS OR ALL DIMES. THE TOLL IS 3 MORE DIMES THAN QUARTERS. WHAT IS THE TOLL?
Click here to see answer by drj(1380)

Question 212131: Tickets for a concert were sold to adults for
$3 and to students for $2. If the total receipts were $824
and twice as many adult tickets as student tickets were
sold, then how many of each were sold?
Click here to see answer by drj(1380)

Question 212129: Donna invested her $33,000 bonus
and received a total of $970 in interest after one year. If
part of the money returned 4% and the remainder 2.25%,
then how much did she invest at each rate?
Click here to see answer by checkley77(12844)

Question 212635: the sum of three times a number squared divided by the difference of that number and five cubed
Click here to see answer by stanbon(75887)

Question 212717: The probability that San Francisco plays in the next Super Bowl is nine times the probability that they do not play in the next Super Bowl. The probability
that San Francisco plays in the next Super Bowl plus the
probability that they do not play is 1. What is the probability
that San Francisco plays in the next Super Bowl?
Click here to see answer by nerdybill(7384)

Question 212716: Ziggy's Famous Yogurt blends regular yogurt that is 3% fat with its no-fat yogurt to obtain low fat yogurt that is 1% fat. How many pounds of regular yogurt and how many pounds of no-fat yogurt should be mixed to obtain 60 pounds of low fat yogurt?
Click here to see answer by ankor@dixie-net.com(22740)

Question 212912: In a writing competition, the first place winner receives � of the prize money. The second runner up receives � of what the winner won. What was the total amount of prize money distributed if the winner receives $6,000?
Click here to see answer by HyperBrain(694)

Question 213297: The sum of the page numbers on the facing pages of a book is 629. what are the page numbers?
Click here to see answer by Alan3354(69443)

Question 213503: In isosceles trapezoid ABCD, the longer base, AB, is one and one half times as long as the short base, CD. The other two sides, AD and BC, are both 13 cm long.
A. If the perimeter is 76 cm, find the lengths of AB and CD.
this is what i did:
AD = 13
BC = 13
CD = x
AB = x* 1 1/2
the equation i got : 13+13+x+1 1/2*x=76
but when i follow through with the equation i can't get 76,
help please, i have no idea what i'm doing wrong.
Click here to see answer by jim_thompson5910(35256)

Question 216552: During an exam, a vet found that only 3/5 of an animals teeth had emerged. the assistant counted 15 teeth how many will the animal eventually have?
Click here to see answer by rfer(16322)

Question 216712: Please check my answer to make sure it's correct
An SUV costs $32,500, which is $700 more than 12 times a certain number. What is the number? Let n = the number.
The steps I took:
12n + 700 = 32,500
+700 - 700 = 0
32,500 - 700 = 31,800
12n = 31,800
12n/12 = 31,800/12
n = 2,650
Is this correct?
Click here to see answer by rfer(16322)

Question 216713: Please check my answer to make sure it's correct
A playing field is 250' in length. The width is one-fourth the length plus 26'. What is the width? Let n = the width
The steps I took:
(250 / 1/4) + 26 = n
250 / 1/4 --> 250 x 4/1 = 1000
1000 + 26 = 1026
n = 1026
Click here to see answer by ankor@dixie-net.com(22740)

Question 216708: Please check my answer if this is correct
The length of a library table is twice its width. If the width is 36", what is the length? Let n = length
The steps I took:
n/2 = 36"
n/2 x 2/1 = 36" x 2
n = 72"
Is this correct?
Click here to see answer by rfer(16322)

Question 217329: one number is 48 less than another number. If the sum of the two numbers is -164, then what is the smaller of the two numbers?
Click here to see answer by RAY100(1637)

Question 217413: Melanie can paint a certain barn by herself in x days. Her helper Melisa can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn that they complete in one day by working together. Evaluate the expression for x = 5

Click here to see answer by Alan3354(69443)

Question 217503: cord camera charges $9.00 for processing a 24-exposure roll of film and $12.60 fo processing a 36-exposure roll of film. After Jack's field trip to observe a variety of architectural styles, he tool 17 rolls of film to cord camera and paid $171 for processing. How many ro;;s of each type were processed?
Click here to see answer by stanbon(75887)

Question 217530: A car and a van were used to transport students. The car made two more trips than the van. If the van holds 8 students and the car holds 5 students, how many trips of each were needed to get 36 students home?
Click here to see answer by rfer(16322)

Question 217570: Why is it important to consider the domain of a Rational Expression? Explain. Can you think of any "real" life examples

Click here to see answer by Theo(13342)

Question 218082: The supplement of an angle exceeds five times the complement of an angle by 10 degrees. Find the angle.
Click here to see answer by drj(1380)

Question 218480: how do you write this as a problem ?
the sum of 19 and the cube of a number x
Click here to see answer by drj(1380)

Question 219073: The grocer mixes pecans priced at $4.50 per pound with almonds priced at $5.25 per pound. How many pounds of each type of nut she use to have a total mixture of 14 pounds priced at $4.80 per pound?
I did x=pounds of pecans and y= pounds of almonds.
x+y=14 and 4.50x+5.25y=4.80
Did I set up those two equations right?
Click here to see answer by josmiceli(19441)

Question 219109: The discharge of a river is defined as the width of the river times the average depth of the river times the speed of the river. At one location in St. Louis, the Mississippi River is 533 meters wide, its speed is 0.6 meter per second, and its discharge is 3198 cubic meters per second. How deep is the Mississippi River at this location?
Click here to see answer by ankor@dixie-net.com(22740)

Question 219357: write the verbal sentence as an equation or an inequality

Two more than a number x is ten.
The sum of a number y and four is 13.
The quotient of a number t and three is eight
Click here to see answer by rfer(16322)

Question 219675: Aside from using trial and error, how does one solve this type of problem?
A large box of popcorn costs $4. A small box costs $3.
59 boxes are sold totalling $200.
How many boxes of each were sold?
Thanks.
Click here to see answer by solver91311(24713)

Question 220186: Four times a number, increased by 25, is 13 less than six times the number.
Click here to see answer by solver91311(24713)

Question 220655: The ratio of Ed's car was 5:2 at first. After Ed gave 30 cars to Pete, they each owned an equal amount of cars. How many cars did they have altogether.
I solve the problem but the answer seem wrong when I retest. here is my equation:
5:2
5x - 30= 2x (because Ed gave 30 cars to P : 5x-30)
5x -2x = 30
3x= 30
x= 10
Then I retest x=10 but the number was wrong 50:20 but Ed gave 30 cars to Pete.
Please help,. Thank you so much. Brian.

Click here to see answer by stanbon(75887)

Question 220728: two baseball players his a total of 252 hits.one has 18 mor hits that the other. find the number of hits for each players
Click here to see answer by stanbon(75887)

Question 221159: A watch gains 60 minutes a day. It is set to read the correct time at 12:00 noon. What will be the correct time the next day when the watch reads 12:00 noon?
Click here to see answer by rfer(16322)

Question 221160: Given three containers 3, 7, and 10 litres respectively with the largest being full of water, determine a method of dividing this quantity of water into two equal amounts of 5 litres using the three containers and no other measuring devices.
Click here to see answer by scott8148(6628)

Question 221161: What is the last digit of the number 77^77 ?
Click here to see answer by Alan3354(69443)

Question 221446: A colonel, on attempting to draw up his regiment in the form of a solid square, finds that he has 30 men left over, and that he would require 25 soliders in his regiment to increase the side of the square by one soldier. How many soldiers are there in the regiment?
Click here to see answer by ankor@dixie-net.com(22740)

Question 221444: Find the area of an equilateral triangle in which each side has a length of 2cm.
Click here to see answer by drj(1380)

Question 221895: y={x-1}power of 2-2
Click here to see answer by solver91311(24713)

Question 222375: A right triangle has one leg four times as long as the other. Find a function that models its perimeter P in terms of the length x of the shorter leg.
Click here to see answer by stanbon(75887)

Question 222928: Hello, I have a hard time figuring out how to set word problems into number problems. I was wondering if you could help. Here's the problem I'm struggling with:
Bill's weight is 48 kilograms. This is 10 kilograms more than one half of his father's weight. What is his father's weight ?

My problem isn't the solving of equations, I just can't set up the problem correctly.
Thank you so much for your time and help.
Click here to see answer by ankor@dixie-net.com(22740)

Question 222997: The perimeter of a rectangle is 44 meters. The length is 2 meters more than the three times the width. Find the length.
Click here to see answer by drj(1380)

Question 223390: Two Cars are 2 miles apart on a straight road, traveling in the same direction.
The lead car travels at 25 mph and the trailing car travels at 35 mph. How long does it take the fastest car to catch the slower car?
Click here to see answer by rfer(16322)

Question 223660: The sum of two numbers is twelve. The total of three times the smaller number and six amounts to seven less than the product of four and the larger number. Find the two numbers.
Click here to see answer by drj(1380)

Question 223756: The sum of two numbers is twenty-one. Three times the smaller number is two less than twice the larger number. Find the two numbers
Click here to see answer by edjones(8007)

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