# Solutions

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

**Lower Elementary:**

*Answer:*84 sweaters

*Solution:*Since Danny’s suitcase holds 12 sweaters, Wendy’s holds 12 + 12 = 24 sweaters. Since Wendy’s suitcase holds 24 sweaters, Jack’s suitcase holds 24 + 24 = 48 sweaters. So, all three sweaters can hold 12 + 24 + 48 = 84 sweaters.

**Upper Elementary:**

*Answer:*131/3 miles

*Solution:*To find the distance travelled per mile, we divide 40 miles by 3 gallons: 40 ÷ 3 = 131/3. The family travels 131/3 miles for each gallon of gas.

**Middle School:**

*Answer*

*:*9 pages

*Solution:*Since the writer types 36 words per minute and there are 240 words on a page, that means he types 36/240 = 3/20 of a page per minute. So, in an hour, he types 3/20 × 60 = 180/20 = 9 pages per hour.

**Algebra and Up:**

*Answer*: 5 yards per second

*Solution:*Jack runs through 40% of 6,000 = 2,400 yards of the maze, but since 25% of those 2,400 yards are retraced, he runs 2,400 × 1.25 = 3,000 yards. So, he runs 3,000 yards in 10 minutes, which is 300 yards per minute and 5 yards per second.