Solving Real-Life Word Problems with Systems of Equations

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?

• 40 adult tickets and 10 student tickets

• 35 adult tickets and 15 student tickets

• 30 adult tickets and 20 student tickets

• 25 adult tickets and 25 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 saved $90 more than John after a certain number of weeks, how many weeks have they been saving?

• 18

• 12

• 20

• 15

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

• 15 chickens and 15 cows

• 5 chickens and 25 cows

• 20 chickens and 10 cows

• 10 chickens and 20 cows

In a bookstore, the price of a novel is $12 and the price of a magazine is $5. If a customer buys a total of 20 items for $150, how many novels and magazines did they buy?

• 5 novels and 15 magazines

• 7 novels and 13 magazines

• 8 novels and 12 magazines

• 10 novels and 10 magazines

Two friends, Alex and Jamie, are collecting stickers. Alex has 3 times as many stickers as Jamie. Together, they have 64 stickers. How many stickers does each friend have?

• Alex has 56 stickers and Jamie has 8 stickers.

• Alex has 40 stickers and Jamie has 24 stickers.

• Alex has 32 stickers and Jamie has 32 stickers.

• Alex has 48 stickers and Jamie has 16 stickers.

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

• 50 miles

• 100 miles

• 200 miles

• 150 miles

A bakery sells cupcakes and cookies. Each cupcake costs $2 and each cookie costs $1. If a customer buys a total of 30 items for $50, how many cupcakes and cookies did they buy?

• 15 cupcakes and 15 cookies

• 25 cupcakes and 5 cookies

• 10 cupcakes and 20 cookies

• 20 cupcakes and 10 cookies

In a gym, a membership costs $30 per month, and personal training sessions cost $20 each. If a member spends a total of $150 in one month, how many training sessions did they purchase?

• 4

• 8

• 10

• 6

A movie theater has two types of tickets: regular tickets for $8 and VIP tickets for $12. If a total of 100 tickets were sold for $900, how many of each type of ticket were sold?

• 80 regular tickets and 20 VIP tickets

• 70 regular tickets and 30 VIP tickets

• 75 regular tickets and 25 VIP tickets

• 60 regular tickets and 40 VIP tickets

A gardener is planting flowers and shrubs. Each flower costs $3 and each shrub costs $5. If the gardener spends a total of $60 and plants 20 plants, how many flowers and shrubs did they plant?

• 0 flowers and 12 shrubs

• 10 flowers and 10 shrubs

• 20 flowers and 0 shrubs

• 15 flowers and 5 shrubs