Mastering Equations: Solve Substitution Word Problems

A store sells pencils for $0.50 each and erasers for $0.75 each. If a student buys a total of 10 items and spends $6.00, how many pencils and erasers did they buy?

• 4 pencils and 6 erasers

• 6 pencils and 4 erasers

• 5 pencils and 5 erasers

• 7 pencils and 3 erasers

Maria has twice as many apples as oranges. If she has a total of 18 fruits, how many apples and oranges does she have?

• Maria has 12 apples and 6 oranges.

• 14 apples and 4 oranges

• 6 apples and 12 oranges

• 10 apples and 8 oranges

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

• 50 miles

• 75 miles

• 120 miles

• 100 miles

In a class, the number of boys is 3 more than twice the number of girls. If there are 15 students in total, how many boys and girls are in the class?

• 10 boys and 5 girls

• 11 boys and 4 girls

• 8 boys and 7 girls

• 12 boys and 3 girls

A recipe requires 2 cups of flour and 3 cups of sugar. If you want to make a batch that uses 12 cups of flour, how much sugar will you need?

• 18 cups of sugar

• 12 cups of sugar

• 15 cups of sugar

• 10 cups of sugar

A gardener has a total of 50 plants, which are either roses or tulips. If the number of roses is 10 more than the number of tulips, how many of each type of plant does the gardener have?

• 25 tulips and 25 roses

• 30 tulips and 20 roses

• 20 tulips and 30 roses

• 15 tulips and 35 roses

A theater has 200 seats. If the number of adult tickets sold is 20 more than the number of child tickets sold, and all tickets are sold, how many adult and child tickets were sold?

• 80 child tickets and 120 adult tickets

• 70 child tickets and 130 adult tickets

• 90 child tickets and 110 adult tickets

• 100 child tickets and 100 adult tickets

A bike rental shop charges a $15 fee plus $5 for each hour rented. If a customer pays $40, how many hours did they rent the bike?

• 4 hours

• 6 hours

• 3 hours

• 5 hours

In a school, the number of students in the 8th grade is 5 less than three times the number of students in the 7th grade. If there are 50 students in total, how many are in each grade?

• 15 students in 7th grade and 45 students in 8th grade.

• 10 students in 7th grade and 40 students in 8th grade.

• 25 students in 7th grade and 25 students in 8th grade.

• 20 students in 7th grade and 30 students in 8th grade.

A swimming pool is filled with water at a rate of 10 gallons per minute. If it takes 2 hours to fill the pool, how many gallons of water does the pool hold?

• 1200 gallons

• 1000 gallons

• 800 gallons

• 1500 gallons