Directions: Set up a System of Equations for each of the 11 word problems then solve it.
1. Adult tickets to the aquarium costs $22 each while child tickets cost $15 each. If a large group bought 32 tickets and paid $543, how many child tickets were purchased?
2. There were a total of 107 students and chaperones on a field trip to the museum. If the number of chaperones was thirteen less than seven times the number of students, find the number of students.
3. The difference of two numbers is 9. If the larger number is one more than twice the smaller number, find the larger number.
4. The sum of two numbers is 47. If their difference is 21 find the smaller number.
5. The sum of two numbers is 39. The sum of twice the larger number and three times the smaller number is 93. Find the smaller number.
6. At the ice cream shoppe, one banana split and five milkshakes cost $16.24. If three banana splits and two milkshakes cost $15.05, find the cost of a milkshake.
7. Scott's piggy bank contains $5.87 worth of pennies and quarters. If the number of pennies is fifteen more than the number of quarters, how many pennies are in the piggy bank?
8. Nate bought two large pizzas and one small pizza and paid $36. If the difference in cost between a large and small pizza is $5.25, how much does a small pizza cost?
9. Jenna bought 4 composition notebooks and 3 pocket folders from the bookstore and paid $9.85. If the cost of a pocket folder is $1.15 less than the cost of a composition notebook, find the cost for a composition notebook.
10. Last week, Landon ate a total of 19 cookies and cupcakes. If the cookies contain 140 calories each, the cupcakes contain 275 calories each, and he consumed a total of 3605 calories, how many cookies did he eat?
11. Abby has a collection of 61 dimes and nickels worth $4.40. How many nickels does she have?