Solving Real-Life Linear Systems: Word Problems & Variables

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 and made $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

Maria and John are saving money for a concert. Maria saves $15 each week, while John saves $10 each week. If Maria has already saved $60 and John has saved $40, how many weeks will it take for them to have the same amount saved?

• 2 weeks

• 8 weeks

• 6 weeks

• 4 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

• 15 chickens and 5 cows

• 12 chickens and 8 cows

• 10 chickens and 10 cows

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

• Alex has 40 cards and Sam has 40 cards.

• Alex has 60 cards and Sam has 20 cards.

• Alex has 70 cards and Sam has 10 cards.

• Alex has 50 cards and Sam has 30 cards.

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $50 for their rental, how many miles did they drive?

• 100 miles

• 50 miles

• 75 miles

• 120 miles

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

• 5 apples and 5 bananas

• 6 apples and 4 bananas

• 4 apples and 6 bananas

• 7 apples and 3 bananas

A bookstore sells novels for $12 each and magazines for $5 each. If a customer buys a total of 8 items and spends $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 offers two membership plans. Plan A costs $25 per month and Plan B costs $15 per month plus a one-time fee of $50. If a customer wants to spend a total of $125, how many months can they afford each plan?

• 4 months for Plan A and 6 months for Plan B

• 3 months for both Plan A and Plan B

• 5 months for both Plan A and Plan B

• 6 months for Plan A and 2 months for Plan B

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

• 7 cupcakes and 8 cookies

• 4 cupcakes and 11 cookies

• 5 cupcakes and 10 cookies

• 6 cupcakes and 9 cookies

In a school, the number of boys is twice the number of girls. If there are 60 students in total, how many boys and girls are there?

• 40 boys and 20 girls

• 50 boys and 10 girls

• 30 boys and 30 girls

• 20 boys and 40 girls