Word Problem Wednesday: Units and Unit Rates

By Mathnasium | July 8, 2020

Solutions

Great job on today’s word problem! Are you ready to check your answer? Look below to see if your solution matches ours.

Lower Elementary:
Answer: 19,000 miles
Solution: Anthony’s route from Turkey to Peru and back again is 9,500 + 9,500 = 19,000 miles in total. Remember to carry the 1 in the thousands place!

Upper Elementary:
Answer: 6:57 AM
Solution: In order to increase to 160°, the internal temperature of the pies will need to rise 160° – 60° = 100°. Since 100° ÷ 2.5° per minute = 40 minutes, it’ll take 40 minutes for the pies to bake. So, Nellie should take them out of the oven at 6:57 AM.

Middle School:
Answer: 12 customers
Solution: If the barber spends twice as much time shaving faces as he does giving haircuts, he must spend 2 hours shaving faces and 1 hour giving haircuts. Since it takes 12 minutes to shave a face, the barber shaves 5 faces per hour–that’s 10 in 2 hours. Each haircut takes 30 minutes, so he can give 2 haircuts in an hour. That means he sees 10 + 2 = 12 customers.

Algebra and Up:
Answer: $460,434.94
Solution: The value of the cottage is currently $750,000, and it was worth C dollars 10 years ago. If its value has increased 5% each year for the past 10 years, then we know that $750,000 = C × 1.0510. To solve for C, we divide $750,000 ÷ 1.0510 = $460,434.9402, which rounds to $460,434.94.