Solving Real-World Problems with Systems of Equations

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

• 15 adult tickets and 35 student tickets

• 25 adult tickets and 25 student tickets

• 40 adult tickets and 10 student tickets

• 30 adult tickets and 20 student tickets

Maria and John are saving money for a new bike. Maria saves $15 each week, while John saves $10 each week. If Maria has $30 more than John after a certain number of weeks, how many weeks have they been saving?

• 4

• 6

• 10

• 8

A farmer has chickens and cows. The total number of animals is 30, and there are 80 legs in total. How many chickens and cows does the farmer have?

• 10 chickens and 20 cows

• 15 chickens and 15 cows

• 20 chickens and 10 cows

• 25 chickens and 5 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 10 items for $90, how many novels and magazines did they buy?

• 3 novels and 7 magazines

• 6 novels and 4 magazines

• 4 novels and 6 magazines

• 5 novels and 5 magazines

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

• 50 miles

• 150 miles

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 48 stickers and Jamie has 16 stickers.

• 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.

A concert hall has two types of seating: regular seats and VIP seats. Regular seats cost $20 each, and VIP seats cost $50 each. If 200 seats were sold for a total of $8000, how many of each type were sold?

• 100 regular seats and 100 VIP seats

• 200 regular seats and 0 VIP seats

• 80 regular seats and 120 VIP seats

• 150 regular seats and 50 VIP seats

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

• 15 cups of sugar

• 18 cups of sugar

• 12 cups of sugar

• 24 cups of sugar

In a fruit market, apples cost $2 each and oranges cost $3 each. If a customer buys a total of 15 fruits for $36, how many apples and oranges did they buy?

• 8 apples and 7 oranges

• 9 apples and 6 oranges

• 7 apples and 8 oranges

• 10 apples and 5 oranges

A gym has two types of memberships: monthly and yearly. A monthly membership costs $30, while a yearly membership costs $300. If the gym has 100 members and collects $2400 in membership fees, how many members have monthly and yearly memberships?

• 80 monthly members and 20 yearly members

• 50 monthly members and 50 yearly members

• 90 monthly members and 10 yearly members

• 70 monthly members and 30 yearly members