Solving Real-World Systems of Equations 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?

• 25 adult tickets and 25 student tickets

• 30 adult tickets and 20 student tickets

• 40 adult tickets and 10 student tickets

• 20 adult tickets and 30 student tickets

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

• 5 chickens and 15 cows

• 12 chickens and 8 cows

• 10 chickens and 10 cows

• 15 chickens and 5 cows

Two friends are saving money for a concert. One saves $5 a week and the other saves $8 a week. If they want to save a total of $100 together, how many weeks will it take for them to reach their goal?

• 6 weeks

• 10 weeks

• 12 weeks

• 8 weeks

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?

• 50 miles

• 75 miles

• 120 miles

• 100 miles

A store sells pencils for $0.50 each and erasers for $1.00 each. If a customer bought a total of 12 items for $7.50, how many pencils and erasers did they buy?

• 10 pencils and 2 erasers

• 9 pencils and 3 erasers

• 8 pencils and 4 erasers

• 5 pencils and 7 erasers

A local gym has two membership options. Option A costs $30 per month and Option B costs $20 per month plus a one-time fee of $60. If a person wants to spend $120, which option is better and how many months can they afford?

• Option A costs $40 per month; they can afford 2 months.

• Option A is worse; they can afford 3 months.

• Option A is better; they can afford 4 months.

• Option B is better; they can afford 5 months.

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

• 12 cups of sugar

• 15 cups of sugar

• 9 cups of sugar

• 18 cups of sugar

A bookstore sells novels for $15 and magazines for $5. If a customer buys a total of 10 items and spends $100, how many novels and magazines did they buy?

• 5 novels and 5 magazines

• 3 novels and 7 magazines

• 4 novels and 6 magazines

• 6 novels and 4 magazines

A concert hall has two types of seating: regular seats for $25 and VIP seats for $50. If a total of 200 seats were sold for $7,500, how many of each type were sold?

• 50 regular seats and 150 VIP seats

• 200 regular seats and 0 VIP seats

• 150 regular seats and 50 VIP seats

• 100 regular seats and 100 VIP seats

A bike shop sells mountain bikes for $300 and road bikes for $200. If they sold a total of 15 bikes for $3,600, how many mountain and road bikes did they sell?

• 12 mountain bikes and 3 road bikes

• 10 mountain bikes and 5 road bikes

• 8 mountain bikes and 7 road bikes

• 15 mountain bikes and 0 road bikes