Isolate Variables: Solve Real-World Multi-Step Problems

A store sells pencils for $2 each and erasers for $3 each. If you buy a total of 10 items and spend $24, how many pencils and erasers did you buy?

• 7 pencils and 3 erasers

• 4 pencils and 6 erasers

• 6 pencils and 4 erasers

• 5 pencils and 5 erasers

Maria has twice as many marbles as John. If John has x marbles and together they have 36 marbles, how many marbles does each person have?

• John has 18 marbles and Maria has 18 marbles.

• John has 12 marbles and Maria has 24 marbles.

• John has 10 marbles and Maria has 26 marbles.

• John has 15 marbles and Maria has 21 marbles.

A recipe requires 3 cups of flour and 2 cups of sugar. If you want to make 4 batches of the recipe, how many cups of flour and sugar do you need in total?

• 10 cups of flour and 6 cups of sugar

• 8 cups of flour and 4 cups of sugar

• 12 cups of flour and 8 cups of sugar

• 15 cups of flour and 10 cups of sugar

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

• 50 miles

• 100 miles

• 150 miles

• 200 miles

In a class, the ratio of boys to girls is 3:5. If there are 40 students in total, how many boys and girls are there?

• 25 boys and 15 girls

• 20 boys and 20 girls

• 10 boys and 30 girls

• 15 boys and 25 girls

A gardener is planting flowers in rows. If each row has 8 flowers and he wants to plant a total of 56 flowers, how many rows will he need?

• 7

• 8

• 6

• 5

A book costs $15, and there is a sale where you can buy 3 books for the price of 2. If you want to buy x books, how much will you spend?

• (x // 3) * 15 + (x % 3) * 30

• x * 15

• (x // 3) * 30 + (x % 3) * 15

• (x // 2) * 30 + (x % 2) * 15

A swimming pool is being filled with water. It fills at a rate of 5 gallons per minute. If it takes 30 minutes to fill the pool, how many gallons of water are needed?

• 150 gallons

• 75 gallons

• 200 gallons

• 100 gallons

A concert ticket costs $45. If you buy x tickets and spend a total of $180, how many tickets did you buy?

• 2

• 5

• 3

• 4

A farmer has chickens and cows. If there are 20 animals in total and the number of chickens is 4 more than the number of cows, how many chickens and cows does the farmer have?

• 10 chickens and 10 cows

• 5 chickens and 15 cows

• 12 chickens and 8 cows

• 15 chickens and 5 cows