Solving Systems of Equations: Real-World Applications

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 50 tickets for $400, how many adult and student tickets were sold?

• 25 adult tickets and 25 student tickets

• 40 adult tickets and 10 student tickets

• 20 adult tickets and 30 student tickets

• 30 adult tickets and 20 student tickets

Maria and John are saving money for a concert. Maria saves $15 each week, while John saves $10 each week. If Maria has $30 more than John after a certain number of weeks, how many weeks have they been saving?

• 6

• 4

• 8

• 10

A farmer has chickens and cows. If there are 20 animals in total and the total number of legs is 56, how many chickens and cows does the farmer have?

• 5 chickens and 15 cows

• 15 chickens and 5 cows

• 10 chickens and 10 cows

• 12 chickens and 8 cows

A bookstore sells fiction and non-fiction books. If the total number of books sold is 100 and the total revenue is $800, with fiction books priced at $10 and non-fiction at $15, how many of each type of book were sold?

• 30 fiction books and 70 non-fiction books

• 40 fiction books and 60 non-fiction books

• 50 fiction books and 50 non-fiction books

• 20 fiction books and 80 non-fiction books

In a class, the ratio of boys to girls is 3:2. If there are 30 students in total, how many boys and girls are there?

• 12 boys and 18 girls

• 20 boys and 10 girls

• There are 18 boys and 12 girls.

• 15 boys and 15 girls

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer paid $70, how many miles did they drive?

• 100 miles

• 200 miles

• 150 miles

• 50 miles

Two friends, Alex and Jamie, are collecting stickers. Alex has 5 more stickers than Jamie, and together they have 35 stickers. How many stickers does each friend have?

• Alex has 25 stickers and Jamie has 10 stickers.

• Alex has 30 stickers and Jamie has 5 stickers.

• Alex has 20 stickers and Jamie has 15 stickers.

• Alex has 15 stickers and Jamie has 20 stickers.

A restaurant offers two types of sandwiches: turkey and veggie. If the total number of sandwiches sold is 60 and the total revenue is $480, with turkey sandwiches priced at $8 and veggie sandwiches at $6, how many of each type were sold?

• 60 turkey sandwiches and 0 veggie sandwiches

• 30 turkey sandwiches and 30 veggie sandwiches

• 40 turkey sandwiches and 20 veggie sandwiches

• 50 turkey sandwiches and 10 veggie sandwiches

A gym has two types of memberships: monthly and yearly. If the total number of memberships sold is 150 and the total revenue is $3,600, with monthly memberships costing $30 and yearly memberships costing $300, how many of each type were sold?

• Monthly memberships: 75, Yearly memberships: 75

• Monthly memberships: 100, Yearly memberships: 50

• Monthly memberships: 120, Yearly memberships: 30

• Monthly memberships: 138, Yearly memberships: 12

A local charity is selling cookies and brownies. If they sold a total of 200 items and made $1,200, with cookies priced at $4 each and brownies at $6 each, how many cookies and brownies did they sell?

• 200 cookies and 0 brownies

• 100 cookies and 100 brownies

• 50 cookies and 150 brownies

• 0 cookies and 200 brownies