Real-Life Systems of Equations: Solve and Substitute

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 of each type of ticket did they sell?

• 30 adult tickets and 20 student tickets

• 25 adult tickets and 25 student tickets

• 40 adult tickets and 10 student tickets

• 20 adult tickets and 30 student tickets

Maria has twice as many dimes as nickels. If the total value of her coins is $3.30, how many dimes and nickels does she have?

• 8 nickels and 16 dimes

• 15 nickels and 30 dimes

• 10 nickels and 20 dimes

• 12 nickels and 24 dimes

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

• 12 chickens and 8 cows

• 5 chickens and 15 cows

• 10 chickens and 10 cows

• 15 chickens and 5 cows

In a class, the ratio of boys to girls is 3:2. If there are 25 students in total, how many boys and girls are there?

• 12 boys and 13 girls

• 20 boys and 5 girls

• 15 boys and 10 girls

• 10 boys and 15 girls

A store sells pencils for $0.50 each and erasers for $1.00 each. If a student buys a total of 10 items for $6.00, how many pencils and erasers did they buy?

• 5 pencils and 5 erasers

• 8 pencils and 2 erasers

• 7 pencils and 3 erasers

• 6 pencils and 4 erasers

Two friends, Alex and Jamie, have a total of $50. If Alex has $10 more than Jamie, how much money does each friend have?

• Alex has $40 and Jamie has $10.

• Alex has $25 and Jamie has $25.

• Alex has $30 and Jamie has $20.

• Alex has $20 and Jamie has $30.

A recipe requires 2 cups of flour and 3 cups of sugar. If you want to make a batch that uses 12 cups of flour, how much sugar will you need?

• 12 cups of sugar

• 18 cups of sugar

• 15 cups of sugar

• 10 cups of sugar

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If a customer paid $50, how many miles did they drive?

• 250 miles

• 100 miles

• 200 miles

• 150 miles

In a fruit basket, there are apples and oranges. If there are 30 fruits in total and the number of apples is 5 more than twice the number of oranges, how many apples and oranges are there?

• 15 apples and 15 oranges

• 30 apples and 0 oranges

• 20 apples and 10 oranges

• 25 apples and 5 oranges

A concert hall has two types of seats: regular seats and VIP seats. If the total number of seats is 200 and the total revenue from ticket sales is $3000, with regular seats costing $10 and VIP seats costing $20, how many of each type of seat were sold?

• 150 regular seats and 50 VIP seats

• 200 regular seats and 0 VIP seats

• 80 regular seats and 120 VIP seats

• 100 regular seats and 100 VIP seats