Translate Word Problems into Equations: Grade 7 Challenge

A store sells pencils for $0.50 each and erasers for $0.75 each. If you buy a total of 10 items and spend $6.00, create an equation to represent the number of pencils (p) and erasers (e).

• p + e = 8, 0.50p + 0.75e = 7.50

• p + e = 12, 0.50p + 0.75e = 5.00

• p + e = 10, 0.50p + 0.75e = 6.00

• p + e = 10, 0.50p + 0.75e = 5.50

Maria has twice as many apples as oranges. If she has a total of 18 fruits, write an equation to find the number of apples (a) and oranges (o).

• 10 apples and 8 oranges

• 6 apples and 12 oranges

• 14 apples and 4 oranges

• 12 apples and 6 oranges

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If you spend a total of $50, create an equation to represent the miles driven (m).

• 150 miles

• 100 miles

• 200 miles

• 250 miles

In a school, the number of boys is 5 more than twice the number of girls. If there are 35 students in total, write an equation to find the number of boys (b) and girls (g).

• Number of boys (b) = 30, Number of girls (g) = 5

• Number of boys (b) = 25, Number of girls (g) = 10

• Number of boys (b) = 15, Number of girls (g) = 20

• Number of boys (b) = 20, Number of girls (g) = 15

A farmer has chickens and cows. If the total number of animals is 50 and there are 3 times as many chickens as cows, create an equation to represent the number of chickens (c) and cows (h).

• c = 4h, h + c = 60

• c = h + 10, h + c = 50

• c = 2h, h + c = 40

• c = 3h, h + c = 50

A movie theater sells adult tickets for $10 and child tickets for $5. If 100 tickets are sold for a total of $800, write an equation to find the number of adult tickets (a) and child tickets (c).

• a = 50, c = 50

• a = 70, c = 30

• a = 60, c = 40

• a = 40, c = 60

Lily is saving money for a new bike. She saves $5 each week and has already saved $20. If the bike costs $100, create an equation to find the number of weeks (w) she needs to save.

• 10

• 16

• 20

• 12

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, write an equation to find the amount of sugar (s) needed.

• 12 cups of sugar

• 15 cups of sugar

• 18 cups of sugar

• 21 cups of sugar

In a class, the number of boys is 4 less than three times the number of girls. If there are 28 students in total, create an equation to find the number of boys (b) and girls (g).

• 15 boys and 13 girls

• 25 boys and 3 girls

• 10 boys and 18 girls

• 20 boys and 8 girls

A bookstore sells novels for $12 each and magazines for $5 each. If a customer buys 8 items for a total of $70, write an equation to represent the number of novels (n) and magazines (m).

• n + m = 8, 12n + 5m = 70

• n + m = 10, 12n + 5m = 60

• n + m = 6, 12n + 5m = 80

• n + m = 8, 10n + 5m = 70