Word Problems: Interpreting 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 video game. Maria saves $5 each week, while John saves $3 each week. If Maria has $20 more than John after a certain number of weeks, how many weeks have they been saving?

• 8 weeks

• 15 weeks

• 10 weeks

• 5 weeks

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

• 10 chickens and 20 cows

• 20 chickens and 10 cows

• 5 chickens and 25 cows

• 15 chickens and 15 cows

In a fruit basket, there are apples and oranges. If there are 12 fruits in total and the number of apples is twice the number of oranges, how many apples and oranges are there?

• 10 apples and 2 oranges

• 6 apples and 6 oranges

• 5 apples and 7 oranges

• 8 apples and 4 oranges

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

• 150 miles

• 100 miles

• 200 miles

Two friends, Alex and Sam, are collecting stickers. Alex has 3 times as many stickers as Sam. If together they have 48 stickers, how many stickers does each friend have?

• Alex has 36 stickers and Sam has 12 stickers.

• Alex has 24 stickers and Sam has 24 stickers.

• Alex has 30 stickers and Sam has 18 stickers.

• Alex has 40 stickers and Sam has 8 stickers.

A bookstore sells novels for $12 each and magazines for $5 each. If a customer buys a total of 10 items and spends $80, how many novels and magazines did they buy?

• 4 novels and 6 magazines

• 2 novels and 8 magazines

• 5 novels and 5 magazines

• 3 novels and 7 magazines

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

• 12 boys and 13 girls

• 15 boys and 10 girls

• 20 boys and 5 girls

A restaurant offers two types of meals: a burger meal for $8 and a pasta meal for $10. If a family spends $56 on meals and orders a total of 6 meals, how many of each type did they order?

• 3 burger meals and 3 pasta meals

• 4 burger meals and 2 pasta meals

• 2 burger meals and 4 pasta meals

• 1 burger meal and 5 pasta meals

A concert hall has two types of seating: regular seats for $25 and VIP seats for $50. If a total of 100 seats were sold for $3000, how many regular and VIP seats were sold?

• 80 regular seats and 20 VIP seats

• 90 regular seats and 10 VIP seats

• 60 regular seats and 40 VIP seats

• 70 regular seats and 30 VIP seats