A056 – Word Problems: System of Equations II

Percy's school is selling tickets to summer camp. On the first day of ticket sales, the school sold 8 elementary school tickets and 12 middle school tickets for a total of $72. The school took in $80 on the second day by selling 8 elementary school tickets and 14 middle school tickets. What is the price of an elementary school ticket?

Kat and Pete both reduced the number of trespassers in their yards by buying fencing and warning signs. They bought their supplies from the same store. Kat spent $67 on 10 feet of fencing and 9 warning signs. Pete spent $89 on 14 feet of fencing and 11 warning signs. What is the cost of 1 foot of fencing?

Jose and Joseph both decided to buy new paintings for their offices. They bought their art from the same supplier. Jose spent $115 on 11 abstract pieces and 8 minimalist pieces. Joseph spent $101 on 11 abstract pieces and 1 minimalist piece. What is the cost of one abstract piece?

Jane and Miranda are selling baked goods. Customers can buy packages of bagels and packages of muffins. Jane sold 12 packages of bagels and 13 packages of muffins for a total of $191. Miranda sold 4 packages of bagels and 13 packages of muffins for a total of $159. How much does one package of bagels cost?

The annual Bingo Bonanza is a popular field trip destination for senior centers. This year, the seniors at Senior Center A and the seniors at Senior Center B both planned trips there. The seniors at Senior Center A rented and filled 2 vans and 4 buses with 238 seniors. Senior Center B rented and filled 9 vans and 3 buses with 291 seniors. Every van held the same number of senior citizens. Similarly, every bus held the same number of senior citizens. Find the number of senior citizens in each van.

Finn and Jack are selling adventure maps. Customers can buy easy adventure maps and difficult adventure maps. Finn sold 7 easy adventure maps and 9 difficult adventure maps for a total of $107. Jack sold 14 easy adventure maps and 4 difficult adventure maps for a total of $102. How much does one easy adventure map cost?

The antique store is a popular destination for easy adventures. After buying easy adventure maps, the seniors at Senior Center A and the Seniors at Senior Center B both planned trips there. The seniors at Senior Center A rented and filled 13 vans and 14 buses with 879 seniors. Senior center B rented and filled 7 vans and 7 buses with 448 seniors. Each van and each bus carried the same number of seniors. Find the number of seniors in each van.

Bruce and Richard are selling antiques. Customers can buy bat-shaped antiques or bird-shaped antiques. Bruce sold 9 bat-shaped antiques and 6 bird-shaped antiques for a total of $114. Richard sold 2 bat-shaped antiques and 4 bird-shaped antiques for a total of $52. How much does one bat-shaped antique cost?

George and Jo are selling books. Customers can buy a political book and a fantasy book. George sold 9 political books and 7 fantasy books for a total of $134. Jo sold 13 political books and 8 fantasy books for a total of $164. Find the cost of one political book.

Ashley and Gary both improved their yards by planting berry trees and apricot trees. They bought their supplies from the same store. Ashley spent $182 on 12 berry trees and 10 apricot trees. Gary spent $165 on 10 berry trees and 11 apricot trees. Find the cost of one berry tree.