Real-Life Linear Equations: Problem Solving for Grade 8

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?

• 30 adult tickets and 20 student tickets

• 35 adult tickets and 15 student tickets

• 25 adult tickets and 25 student tickets

• 40 adult tickets and 10 student tickets

Maria and John are saving money for a concert. Maria has $20 more than John. Together, they have $120. How much money does each person have?

• John has $40 and Maria has $60.

• John has $30 and Maria has $90.

• John has $50 and Maria has $70.

• John has $60 and Maria has $80.

A farmer has chickens and cows. If there are 30 animals in total and the total number of legs is 100, how many chickens and cows does the farmer have?

• 5 chickens and 25 cows

• 20 chickens and 10 cows

• 10 chickens and 20 cows

• 15 chickens and 15 cows

Two friends are jogging. One jogs at a speed of 4 miles per hour and the other at 6 miles per hour. If they start together and the faster friend finishes 2 miles ahead, how long did they jog?

• 30 minutes

• 2 hours

• 1 hour

• 1.5 hours

A store sells pencils for $0.50 each and erasers for $1.00 each. If a student buys a total of 10 items and spends $6, how many pencils and erasers did the student buy?

• 8 pencils and 2 erasers

• 7 pencils and 3 erasers

• 5 pencils and 5 erasers

• 6 pencils and 4 erasers

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?

• 15 boys and 10 girls

• 20 boys and 5 girls

• 12 boys and 13 girls

• 10 boys and 15 girls

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $50, how many miles did they drive?

• 120 miles

• 75 miles

• 50 miles

• 100 miles

A recipe requires 2 cups of flour and 3 cups of sugar. If a baker wants to make a batch that uses 12 cups of flour, how many cups of sugar will be needed?

• 18 cups of sugar

• 6 cups of sugar

• 12 cups of sugar

• 24 cups of sugar

Two types of fruit are being sold at a market: apples for $2 each and oranges for $3 each. If a customer buys a total of 15 fruits for $36, how many apples and oranges did they buy?

• 10 apples and 5 oranges

• 8 apples and 7 oranges

• 7 apples and 8 oranges

• 9 apples and 6 oranges

A local gym offers two membership plans. Plan A costs $25 per month and Plan B costs $15 per month plus a one-time fee of $50. If a customer pays $125 in total, how many months did they use each plan?

• 0 months of Plan A and 8 months of Plan B

• 2 months of Plan A and 2 months of Plan B

• 3 months of Plan A and 0 months of Plan B

• 5 months of Plan A and 0 months of Plan B