Word Problem Wednesday: Mathematical Mixed Bag III

By Mathnasium | December 9, 2020

Solutions

Excellent!  Are you ready to check your child’s answer? Look below to see if their solution matches ours.

Lower Elementary:
Answer:  18 flowers
Solution:  A dozen means 12. Since half of Ella’s 12 planted seeds sprout, that means 6 seeds sprout and grow into plants. Each of those plants grows 3 flowers, so Ella has 3 + 3 + 3 + 3 + 3 + 3 = 18 flowers.

Upper Elementary:
Answer:   9,500 pounds
Solution:  A ton is 2,000 pounds; the truck itself weighs 2,000 × 4 = 8,000 pounds. The truck starts with 2,000 pounds of gravel, so after it leaves the construction site, it has 2,000 – 500 = 1,500 pounds of gravel in the back. In total, that’s 8,000 + 1,500 = 9,500 pounds.

Middle School:
Answer:   30 points
Solution:  If Mason’s average point score over 5 tests was 32 points, then he must have earned 32 × 5 = 160 points in total. Before his last test, he had 160 – 40 = 120 points over 4 tests. Therefore, his average score after 4 tests was 120 ÷ 4 = 30 points.

Algebra and Up:
Answer:   42 days
Solution:  There are 28 days in 4 weeks, so the puppy has gotten 12 × 28 = 336 hours of sleep by the time the kitten is born. We want to know when the amount of sleep is equal. The kitten sleeps at a rate of 20 hours per day, and the puppy sleeps 12 per day with a 336-hour lead. We can set up the following equation and solve for d days:

20d = 12d + 336
d = 42

The kitten will be 42 days old.