Solving Real-Life Problems with Linear 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?

• 25 adult tickets and 25 student tickets

• 40 adult tickets and 10 student tickets

• 20 adult tickets and 30 student tickets

• 30 adult tickets and 20 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 $30 more than John after a certain number of weeks, how many weeks have they been saving?

• 4

• 10

• 8

• 6

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

• 5 chickens and 25 cows

• 20 chickens and 10 cows

• 10 chickens and 20 cows

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

• Alex has 50 cards and Jamie has 30 cards.

• Alex has 70 cards and Jamie has 10 cards.

• Alex has 60 cards and Jamie has 20 cards.

• Alex has 40 cards and Jamie has 40 cards.

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

• 200 miles

• 150 miles

• 50 miles

• 100 miles

In a fruit market, apples cost $2 each and bananas cost $1 each. If a customer buys a total of 20 fruits for $30, how many apples and bananas did they buy?

• 10 apples and 10 bananas

• 15 apples and 5 bananas

• 5 apples and 15 bananas

• 12 apples and 8 bananas

A bookstore sells novels for $12 each and magazines for $5 each. If a customer buys a total of 15 items and spends $100, how many novels and magazines did they purchase?

• 5 novels and 10 magazines

• 7 novels and 8 magazines

• 10 novels and 5 magazines

• 3 novels and 12 magazines

A gym offers two membership plans. Plan A costs $30 per month, and Plan B costs $20 per month plus a one-time fee of $60. If a customer wants to spend $120, which plan should they choose and for how many months?

• Choose Plan A for 2 months.

• Choose Plan A for 4 months.

• Choose Plan B for 3 months.

• Choose Plan B for 5 months.

A local bakery sells cupcakes for $3 each and cookies for $2 each. If a customer buys a total of 40 items and spends $100, how many cupcakes and cookies did they buy?

• 15 cupcakes and 25 cookies

• 20 cupcakes and 20 cookies

• 10 cupcakes and 30 cookies

• 25 cupcakes and 15 cookies

In a school, the ratio of boys to girls is 3:2. If there are 50 students in total, how many boys and girls are there?

• 25 boys and 25 girls

• 40 boys and 10 girls

• 15 boys and 35 girls

• 30 boys and 20 girls