Questions on Word Problems: Evaluation, Substitution answered by real tutors!

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Question 878289: Kent bought three tapes and 2 CDs for $62.50. Desmond bought 1 tape and 4 CDs for $72.50. Find the cost of one tape and the cost of one CD.
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Question 878510: donna runs 5 miles in 38 minutes. At the same rate, how many miles would she run in 57 minutes? thanks.
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Question 879497: A number is decreased by seven. Then, the new number is multiplied by 3 to get an answer of -9.

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Question 883687: a number is 12 more than the other . find the number, if their sum is 48
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Question 883827: 4/5 of a number is more than 3/4 of the number by 5. fin the number
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Question 883825: seven times the number is 36 less than 10 times the number. find the number

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Question 883838: A 10cm by 17cm picture is mounted with a border of uniform width on a rectangular frame. If the total area of the border is 198cm^2, find the dimension of the frame.
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Question 883838: A 10cm by 17cm picture is mounted with a border of uniform width on a rectangular frame. If the total area of the border is 198cm^2, find the dimension of the frame.
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Question 883946: The difference between a number and six is doubled, the result is seven more that the number. Find the number?
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Question 884505: hello I cannot seem to figure out the answer to this word problem I don not know what I missing but can someone help me I will greatly appreciate it thank you


A basketball team sells tickets that cost $10, $20, and VIP seats for $30. The team has sold 482 tickets overall. It has sold 132 more $20 tickets than $10 tickets. The total sales are $8850, how many tickets of each kind have been sold?


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Question 886019: Solving a word problem using a quadratic equation with rational roots. if the area of a rectangle is 42ft^2 and the length is 5 feet more than twice the width
what are the length and width

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Question 886215: six times the sum of a number and -15 is 76 more than four times the number. find the number
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Question 886217: The ratio of robins to blackbirds that visit our feeder is 4 to 7. If there are a total of 132 birds, how many robins visit the feeder?
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Question 886323: A group of students bought 10 barbecues and 12 soft drinks at a cost of Php 320 . Another group of students bought 6 barbecues and 4 soft drinks at a cost of a Php 160. What is the cost of a single barbecue? a single soft drink?
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Question 887582: Please help with this? so confused...
Mr. Tucker has some cows and chickens. If there are 60 heads and 200 legs, how many chickens does he have?

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Question 887629: the numbered ball in a certain jar have an average of 12. if ball 28 is removed from the jar, then the average is decreased by 2. how many balls are there originally?
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Question 888027: A number consists of two digits whose product is 8.if the digits are interchanged, the resulting number will exceed the original one by 18. find the number.
solution . let the digits be x and y
x*y= 8 but if y*x= original number +18
now this is the problem , if i put 8 instead of the original number the equation becomes y*x= 8+18 , y*x= 26 , x= 26/y
and if i put it in the other equation , 26/y*y=8 ! y gets cancelled ?

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Question 890123: find 5% of 439,725
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Question 889703: Prove that for any positive integer n, the value of the expression 3^(2n+2)-8n-9 is divisible by 64
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Question 890250: -2(7a=+7)
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Question 890399: A farmer decides to enclose a rectangular garden, using the side of the barn as one rectangle. What is the maximum area that the farmer can enclose with 80ft. Of fence. What should the dimensions of the garden be to give this area?
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Question 892101: The caribbean paradise has 12 more deluxe staterooms than the Pacific. The Mediterranean has15 fewer deluxe staterooms than the Pacific. The total of the three is 525. What is the number for each?

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Question 892517: the sum of a number is 4 time its reciprocal is -4 find the number
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Question 893163: Jack wants to fence a rectangular field whose area is 1200 sq.m. He has only 100 meters of fencing so he decided to fence only the three sides of the rectangle letting the wall be the fourth side. How wide should the rectangle be?
-pls solve this algebraically

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Question 894328: A new tollway is built. For the first month there is no toll to use the road and each day 4800 cars use it. After the first month it is estimated that for each dollar increase in the toll, 800 fewer cars will use it. What price should the company set the tolls in order to make the most money?
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Question 894329: A tank contains 1200 litres. A tap is turned on and 40 litres of water escape each minute. How much water has escaped in 12 minutes?
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Question 894326: Find the equation of 0 C or 32F and 100 C or 212F. The highest temperature in the world was 136 F. What is the temperature in Celius.
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Question 894411: Tickets for a concert are $40 for main-floor seats and $25 for upper level seats. A total of 2000 concert tickets were sold. The total ticket sales were $62,000. How many main-floor tickets were sold and how many upper-level tickets were sold? You can solve this problem using two equations.
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Question 895181: Write an expression for the amount of change you will get when you pay for a purchase p with a $20 bill. make a table to find the amounts of change you will get for purchases of $11.59, $17.50, $19.00, and $20.00.
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Question 896127: You make $200 a day on a job. What will you receive for working 1/5 of the day
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Question 896199: Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete. What is the equation that can be used to find the value of y, the total time that Vlad spent on his homework, and what are the constraints on the values of x and y?
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Question 896443: Jessie and mark are planning to paint a house together. Jessie that if he works alone, it would take him five hours more than the time mark takes to paint the entire house. working together, they can complete the job in six hours. how many hours does each of them take working alone?
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Question 896504: Joshua works as a clerk for an accounting firm. His hours are from 0800 until 1700.
He spends five times as much time on computing as he spends having lunch. He spends twice as much time writing as he does filing, and twice as much time filing as he does having his lunch. Calculate how long Joshua spends on each activity.

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Question 896519: It takes 20 men 8 days to complete 1/4 of the work. How many men are needed to complete all of the work in 5 days?
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Question 896583: Can you please solve this problem? I need help setting up an equation. "Jake and Abigail worked on a job together. Jake earned three-fourths of what Abigail did. Together, they earned $140. How much did each earn?" Thanks.
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Question 896853: Round 768,423 to 10,000

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Question 897615: Barry has three sisters. The average age of the three sisters is 27. The average age of Barry and his three sisters is 28. What is Barry's age?
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Question 897774: Lynn bought two extension cords. The second was twice as long as the first. In all, they were 48 feet long. How long was each cord?
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Question 898013: A passenger train travels at 60 mph and a freight train travels at 40 mph. It takes the passenger train 1.5h less time to cover the same distance as the freight train. How long does it take each train to make the trip?
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Question 898234: Mark works strictly on commission of his gross sales from selling two different products of his company. Last month, his gross sales were $91,000. If he earns 4% commission on product A and 3% commission on product B, what were his gross sales for each product if he earned $3,400 in total commission?
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Question 898572: In a yacht race the second was half the length of the first leg, the third leg was two-thirds of the length of the second leg. and the last leg was twice the length of the second leg if the total distance was 153km find the length of each leg.
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Question 900882: I have two equations for this problem, I am just not sure how to solve it. The problem is; At a benefit concert, 900 tickets were sold and $2700 was raised. If there were $2 and $5 ticket, how many of each were sold?
I have x+y= 900 and then $2x+$5y=$2700

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Question 900882: I have two equations for this problem, I am just not sure how to solve it. The problem is; At a benefit concert, 900 tickets were sold and $2700 was raised. If there were $2 and $5 ticket, how many of each were sold?
I have x+y= 900 and then $2x+$5y=$2700

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Question 902896: jim weighs 40 lb more than stephanie. stephianie weighs three fourths as much as jim, how much does each weigh? Choices for stephianie's weight are 100lb 118lb 120 lb
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Question 903430: Evaluate the formula v=Bh/3 for B = 15 in.2 and h = 28 in.
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