News from Mathnasium of Glendora
Critical Math 8/21/17
Aug 22, 2017
Question: Peter’s birthdate is January 3, 1996. Hannah’s birthdate is October 30, 2008. How old will each of them be on August 25, 2017?
Answer: Peter will be 21 years old, and Hannah will be 8 years old.
Solution: Since Peter’s birthday will already have happened this year, he will be 2017 – 1996 = 21 years old. Hannah’s birthday hasn’t happened yet, so her last birthday was in 2016. So, Hannah will be 2016 – 2008 = 8 years old.
Question: Grace has 1,000 points saved up on an app. She can trade 200 for a $10 gift card. If Grace wants to use her points to get enough gift cards to buy a pair of boots that cost $75, how many more points does she need?
Answer: 600 points
Solution: Grace needs 8 gift cards in total to have enough money to buy the pair of boots. She has enough points for 1,000 ÷ 200 = 5 gift cards, so she needs 3 more. To get 3 more gift cards, she needs 3 × 200 = 600 points.
Question: Isaac can read 50 pages in an hour. Wyatt can read 90 pages in an hour and a half. How much faster can Wyatt read a 300 page book than Isaac?
Answer: 1 Hour
Solution: Isaac’s 50 pages per hour go into 300 pages 6 times (300 ÷ 50 = 6), so Isaac can finish the book in 6 hours. Since an hour and a half is 90 minutes, that means that Wyatt can read 1 page per minute, or 60 pages per hour. Wyatt’s 60 pages per hour go into 300 pages 5 times (300 ÷ 60 = 5). So, Wyatt can read a 300 page book an hour faster than Isaac.
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