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# News from Mathnasium of Coral Springs / Parkland

### Problem of the Week 05-22-2017

May 22, 2017

Lower Elementary:

Question: It takes 5 batteries to power 1 flashlight. It takes 4 batteries to power 1 radio. Which of the following requires more batteries: 3 flashlights and 2 radios or 4 flashlights and 1 radio?

Solution:  For the first option: 3 flashlights use 5 + 5 + 5 = 15 batteries, and 2 radios use 4 + 4 = 8 batteries. That’s 15 + 8 = 23 batteries in total. For the second option: 4 flashlights use 5 + 5 + 5 + 5 = 20 batteries, and 1 radio uses 4 batteries. That’s 24 batteries in total. Since 24 is more than 23, the second option requires more batteries.

Upper Elementary:

Question: Brandon finds 4 pounds and 8 ounces of wood for a campfire. Emma finds 5 pounds and 11 ounces. Luis finds 9 pounds and 3 ounces. How much campfire do they have in total?

Answer:  19 pounds and 6 ounces

Solution:  First, let’s add the ounces: 8 + 11 + 3 = 22 ounces. Since there are 16 ounces in a pound, that’s the same as 1 pound and 6 ounces. Now, if we add the pounds, we get 4 + 5 + 9 = 18 pounds, plus 1 pound and 6 ounces makes 19 pounds and 6 ounces.

Middle School:

Question: An unroasted marshmallow has a volume of 0.25π cubic inches. After Andrew roasts the marshmallow over a campfire, its volume is 150% its original volume. What is the post-roast volume of the marshmallow?