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# News from Mathnasium of Beach Blvd

### Problem of the Week 04-18-2017

Apr 18, 2017

Lower Elementary:

Question: Stacy has tickets to a concert that starts at 8:30 pm. If it’s currently 7:42 pm, then how much time does Stacy have to get to the concert before it starts?

Solution:  We can solve this problem by building up to 8:30. There are 18 minutes until 8:00 because 42 + 18 = 60 minutes, or an hour. There are 30 minutes from 8:00 until 8:30. So, Stacy has 18 + 30 = 48 minutes until the concert starts.

Upper Elementary:

Question: Maggie wants to buy a puzzle that costs \$25. She has a 50% off coupon and \$10. How much more money does Maggie need to get the puzzle?

Solution:  Half of \$25 is \$12.50. Maggie already has \$10, so she needs \$12.50 – \$10 = \$2.50 more.

Middle School:

Question: A red token is worth twice as much as an orange token. An orange token is worth 5 less a yellow token. A yellow token is worth 15 less than a green token. A green token is worth half as much as a blue token, and a blue token is worth B. How much is a yellow token worth in terms of B?

Solution:  If a blue token is worth B, then a green token is worth half of B, or 0.5B. A yellow token is worth 15 less, so that’s 0.5B – 15.

Algebra and Up:

Question: The formula for the temperature in Fahrenheit (F) in terms of the temperature in Celsius (C) is:

F = 9C/5 + 32

What is the formula for the temperature in Celsius in terms of the temperature in Fahrenheit?

Answer:   C = 5/9(F – 32)

Solution:  First, we subtract 32 from both sides and get F – 32 = 9C ÷ 5. Next, we multiply each side by 5 and get 5(F – 32) = 9C. After that, we divide each side by 9 and get 5/9(F – 32) = C. Finally, we flip it around and get C = 5/9(F – 32).