Solving Real-Life Linear Equations: Grade 8 Challenge

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

• 30 adult tickets and 20 student tickets

• 20 adult tickets and 30 student tickets

• 40 adult tickets and 10 student tickets

• 25 adult tickets and 25 student tickets

Tags

CCSS.8.EE.C.8C

Two friends, Alice and Bob, are saving money for a concert. Alice saves $15 each week, while Bob saves $10 each week. If Alice has already saved $60 and they want to have a total of $180 together, how many weeks will it take for them to reach their goal?

• 3 weeks

• 7 weeks

• 5 weeks

• 10 weeks

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

• 15 chickens and 15 cows

• 10 chickens and 20 cows

• 20 chickens and 10 cows

• 5 chickens and 25 cows

Tags

CCSS.8.EE.C.8C

A store sells pencils for $2 each and erasers for $3 each. If a customer buys a total of 20 items and spends $50, how many pencils and erasers did they buy?

• 15 pencils and 5 erasers

• 5 pencils and 15 erasers

• 12 pencils and 8 erasers

• 10 pencils and 10 erasers

Tags

CCSS.8.EE.C.8C

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

• 50 miles

• 100 miles

• 75 miles

• 120 miles

Tags

CCSS.7.EE.B.4A

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 wants to spend no more than $200, how many months can they afford each plan?

• Plan A: 8 months, Plan B: 10 months

• Plan A: 10 months, Plan B: 12 months

• Plan A: 5 months, Plan B: 7 months

• Plan A: 6 months, Plan B: 8 months

Tags

CCSS.7.EE.B.4B

A bakery sells muffins for $1.50 each and cookies for $2.00 each. If a customer buys a total of 12 items and spends $20, how many muffins and cookies did they buy?

• 5 muffins and 7 cookies

• 8 muffins and 4 cookies

• 6 muffins and 6 cookies

• 10 muffins and 2 cookies

Tags

CCSS.8.EE.C.8C

Two types of fruit are being sold at a market: apples and oranges. Apples cost $1 each and oranges cost $0.50 each. If a customer buys a total of 30 fruits and spends $20, how many apples and oranges did they buy?

• 10 apples and 20 oranges

• 5 apples and 25 oranges

• 20 apples and 10 oranges

• 15 apples and 15 oranges

Tags

CCSS.8.EE.C.8C

A concert hall has two types of seating: regular and VIP. Regular seats cost $50 and VIP seats cost $100. If the total number of seats sold is 200 and the total revenue is $12,000, how many regular and VIP seats were sold?

• 100 regular seats and 100 VIP seats

• 180 regular seats and 20 VIP seats

• 160 regular seats and 40 VIP seats

• 150 regular seats and 50 VIP seats

Tags

CCSS.8.EE.C.8C