Systems of Equations - Word Problems
Terms in this set (16)
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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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