Isolate Variables & Check Solutions in Multistep 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 did you buy?

• 6

• 4

• 2

• 8

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

• 24

• 18

• 30

• 12

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

• 12 cups of flour and 8 cups of sugar

• 15 cups of flour and 10 cups of sugar

• 8 cups of flour and 4 cups of sugar

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

• 200 miles

• 50 miles

• 100 miles

• 150 miles

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

• 25

• 20

• 15

• 10

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?

• 8

• 5

• 6

• 7

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) * 30 + (x % 3) * 15

• x * 15

• (x // 2) * 30 + (x % 2) * 15

• (x // 3) * 15 + (x % 3) * 30

A swimming pool is being filled with water. It fills at a rate of 5 gallons per minute. If the pool holds 300 gallons, how long will it take to fill the pool?

• 60 minutes

• 90 minutes

• 30 minutes

• 120 minutes

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 tickets were sold?

• 20

• 25

• 30

• 35

A train travels at a speed of 60 miles per hour. If it travels for x hours and covers a distance of 240 miles, how long did the train travel?

• 4 hours

• 6 hours

• 2 hours

• 5 hours