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Systems of Equations - Word Problems
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Terms in this set (16)
(2, 5)
Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. She bought seven total shirts. How many fancy and plain shirts did Kristin buy? Let x = fancy shirts and y = plain shirts.
(7, 6)
There are 13 animals in the barn. Some are chickens and some are pigs. There are 40 legs in all. How many pigs and chickens are there? Let x = pigs and y = chickens.
(2, 8)
A farmhouse shelters 10 animals. Some are pigs and some are ducks. All together there are 36 legs. How many ducks and pigs are there? Let x = ducks and y = pigs.
(8, 14)
Stefan's school is selling tickets to a choral concert. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find how much each ticket costs. Let x = senior tickets and y = child tickets.
(1.25,162.50)
There are two cellular companies to choose from. Company A charges $50 per month and a $100 sign up fee. Company B charges $70 per month and a $75 sign up fee. Find out when the two companies are equal in cost and tell what that cost is. Let x = number of months and y = cost.
(8, 5)
At the movie theater adult tickets are $3 more than child tickets. Two adults and three children spent $31. Find out how much each ticket costs. Let x = cost of an adult ticket and y = cost of a child ticket.
(2, 2)
Shawna bought 4 pairs of pants for a total of $260. Dress pants cost $90 each, and jeans cost $40 each. How many of each type of pants did she buy? Let x = dress pants and y = jeans.
(6,2)
Mike bought 8 writing utensils for a total of $30. Pens cost $4 each and pencils cost $3 each. How many of each writing utensil did she buy? Let x = pens and y = pencils.
(3, 3)
A class used cars and vans to go on a field trip. They used 6 vehicles in all for the trip. Each car holds 5 students and each van holds 7 students. A total of 36 students went on the trip. How many of each type of vehicle did the class use? Let x = cars and y = vans.
(4, 4)
Willie spent $216 on books. Math books cost $30 each and English books cost $24 each. If he bought a total of 8 books, how many of each kind did he buy? Let x = math books and y = English books.
(42, 32)
At the Children's Theater, a student ticket costs $10 less than an adult ticket. Ms. Moreland went to a play with 3 students and herself, an adult, and paid $138. What is the price for a student ticket and an adult ticket? Let x = cost of an adult ticket and y = cost of a student ticket.
(35, 530)
One company charges $250 to tear out old flooring in Mrs. Wielinski's office plus $8 per square foot of new. A second one charges $320 to tear out old flooring plus $6 per square foot of new. What square footage would the two companies charge the same amount for? What would the amount be? Let x = square feet and y = cost.
(15, 65)
Shawn has been planting young trees in his garden. The maple tree that is 5 inches tall is growing 4 inches per month, whereas the oak tree that is 50 inches tall is growing 1 inch per month. In a few months, the two trees will be the same height. How long will that take? What will that height be? Let x = months and y = height.
(1, 1)
When Annie does 5 push-ups and 10 sit-ups, it takes a total of 15 seconds. In comparison, she needs 25 seconds to do 9 push-ups and 16 sit-ups. How long does it take Annie to do each kind of exercise? Let x = amount of time it takes to do a push-up and y = amount of time it takes to do a sit-up.
(63, 138)
An event planner routinely orders ice sculptures for the corporate events she plans. For an executive dinner in Hillsboro, she ordered 1 large ice sculpture, which cost $138. Then, for a release party in Wildgrove, she ordered 1 small ice sculpture and 3 large ice sculptures, which cost a total of $477. How much does each ice sculpture cost? Let x = the cost of a small ice sculpture and y = the cost of a large ice sculpture.
(13,25)
Manchester Nail Salon is having a special this month on services. Over the weekend, they performed 19 manicures and 2 pedicures, bringing in a total of $297 in receipts. So far this week, they have administered 22 manicures and 2 pedicures, with receipts totaling $336. How much does the salon charge for each service? Let x = the cost of a manicure and y = the cost of a pedicure.
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