Word Problem Wednesday: Do You Wanna Build Some Math Skills?

Sep 19, 2018 | Cave Creek

ELSA? Wake up, wake up wake UP!

The sky's awake, so I'm awake, so we have to play!

Do you wanna build a SNOWMAN?

Check out this week's Disney Princess themed Problems of the Week!!! Whoever your favorite princess is, check out how these amazing ladies use math in their everyday lives!

Upper Elementary:

Question: Anna builds a snowman out of 3 big snowballs. The first snowball weighs 48 pounds. The second snowball weighs 1/2 as much as the first. The third snowball weighs 2/3 as much as the second. How much does the snowman weigh in total?

Ready for the answer? 

 

 

Answer: 88 pounds
Solution:
 The first snowball weighs 48 pounds. The second snowball weighs 1/2 × 48 = 24 pounds. The third snowball weighs 2/3 × 24 = 16 pounds. So, the snowman weighs 48 + 24 + 16 = 88 pounds altogether.

 

Here are the other princesses for you!

Lower Elementary:
Question:
 Moana sails her boat for 30 minutes a day, 7 days per week. How many hours per week does Moana spend sailing?

 


Answer: 31/2 hours
Solution: 
Instead of adding 30 + 30 + 30 + 30 + 30 + 30 + 30, we can solve this problem by counting by half hours. Moana spends 1/an hour sailing each day, so she spends 1/2, 1, 1 1/2, 2, 2 1/2, 3, 3 1/2 hours of sailing each week.

 

Middle School:
Question:
 Merida spends an afternoon shooting arrows at targets. Her ratio of hits to misses is 5:1. What percentage of Merida’s shots hit the target?


Answer: 83 1/3%
Solution: 
To solve this problem, we first need the ratio of hits to total shots. The total shots in the ratio
is the hits plus the misses, so the ratio of hits to total shots is 5:(5+1) = 5:6. As a fraction, this is 5/6. To convert the fraction to a percentage, we divide 5 ÷ 6 = 0.83333… = 83 1/3%.

 

 

Algebra and Up
Question: 
Rapunzel spends part of her morning cleaning, part of it painting, and part of it reading. The amount of time she spends cleaning is 78 minutes less than the amount of time she spends painting. The amount of time she spends painting is 15 minutes more than half the amount of time she spends reading. The amount of time she spends reading is 6 minutes more than 10 times the amount of time she spends cleaning. How much time does Rapunzel spend reading?

Answer: 156 minutes
Solution: 
To solve this problem, we set up a system of equations:
C = P – 78
P = 1/2R + 15
R = 10C + 6
We want to solve for R, and the last equation in the system is already solved for R.
So, if we plug (1/2R + 15) in for P in the first equation, we get C = 1/2R – 63. We can then plug (1/2R – 63) in for C in the third equation and find that R = 156. Rapunzel spends 156 minutes reading.

 

You can check out more of our Word Problem Wednesdays blog posts! Come on back to our blog every week - stretch your mind and test your word problem comprehension skills!

Word Problem Wednesday: 12 Parsecs and a Scoundrel

Word Problem Wednesday: You've Got a Friend in Me

Word Problem Wednesday: A Mad Man With A Box

Word Problem Wednesday: Math Just Keeps On Slaying

Word Problem Wednesday: Fly, My Pretties, Fly!

Word Problem Wednesday: Who You Gonna Call?

Word Problem Wednesday: When Harry Potter Met Math

 


 

Looking for some more math fun? Call us at Mathnasium of Cave Creek!

 

        
 

Call us at (602) 313-0901 or email us at [email protected] 

Let's Get Started and make this Back to School Season a TRANSFORMATIONAL one!

NEXT: Visit our Teaching Methods page or Promotions page or check out our Newsblog for past Word Problem Wednesdays!