Solving Real-World 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 150 tickets for $1,200, how many adult and student tickets were sold?

• 90 adult tickets and 60 student tickets

• 60 adult tickets and 90 student tickets

• 80 adult tickets and 70 student tickets

• 100 adult tickets and 50 student tickets

Maria and John are saving money for a concert. Maria saves $15 each week, while John saves $10 each week. If together they want to save $150, how many weeks will it take for them to reach their goal?

• 5 weeks

• 7 weeks

• 8 weeks

• 6 weeks

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

• 15 chickens and 5 cows

• 10 chickens and 10 cows

Two friends, Alex and Jamie, are collecting baseball cards. Alex has 3 times as many cards as Jamie. If together they have 80 cards, how many cards does each friend have?

• Alex has 70 cards and Jamie has 10 cards.

• Alex has 40 cards and Jamie has 40 cards.

• Alex has 60 cards and Jamie has 20 cards.

• Alex has 50 cards and Jamie has 30 cards.

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?

• 100 miles

• 200 miles

• 150 miles

• 50 miles

In a fruit market, apples cost $2 each and bananas cost $1 each. If a customer buys a total of 10 fruits for $16, how many apples and bananas did they buy?

• 7 apples and 3 bananas

• 5 apples and 5 bananas

• 4 apples and 6 bananas

• 6 apples and 4 bananas

A bookstore sells novels for $12 each and magazines for $5 each. If a customer buys a total of 8 items for $66, how many novels and magazines did they purchase?

• 5 novels and 3 magazines

• 4 novels and 4 magazines

• 2 novels and 6 magazines

• 3 novels and 5 magazines

A gym has two types of memberships: a monthly membership for $30 and a yearly membership for $300. If a total of 50 memberships were sold for $1,200, how many of each type were sold?

• 40 monthly memberships and 10 yearly memberships were sold.

• 45 monthly memberships and 5 yearly memberships were sold.

• 25 monthly memberships and 25 yearly memberships were sold.

• 30 monthly memberships and 20 yearly memberships were sold.

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 in the class?

• 10 boys and 15 girls

• 20 boys and 5 girls

• 15 boys and 10 girls

• 12 boys and 13 girls

A bakery sells cupcakes for $3 each and cookies for $2 each. If a customer buys a total of 15 items for $36, how many cupcakes and cookies did they buy?

• 4 cupcakes and 11 cookies

• 7 cupcakes and 8 cookies

• 5 cupcakes and 10 cookies

• 6 cupcakes and 9 cookies