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Problem Solving Exercises
So here are a few questions I answered regarding the wording of math problems. Watch out! It’s a bit tricky!These are good exercises. Here’s how to think about them:
Question #1:
“There are twice as many Computers as there are printers.”Step 1: Notice the number of computers is twice that of printers.
In other words: computers = 2 * (printers)
Step 2: So: c = 2p (NOT 2c = p !!!!!!!!!!!)The sentence: “There are twice as many computers as there are printers” implies there are more computers than there are printers.
Check your equation –does it make sense? which side is larger? c? or 2p?It takes 2 p’s to equal a ‘c.’ So ‘c’ is bigger. This makes sense!
Answer: c = 2pQuestion #2:
“There are 10 more grapes than apples, and one fourth as many appples as pears.”
Assume g= grape,a = apple, p = pearsStep 1: Think: Reword “10 more grapes than apples” to: grapes = 10 more than apples
g = 10 + aStep 2:Reword “one fourth as many apples as pears” to: apples = 1/4 pears
“One fourth as many apples as pears” implies there are fewer apples than pears. How much fewer? one fourth! Make sure your final equation shows that there are fewer apples than pears.
a = (1/4)papples = a fraction of number of pears–so this makes sense!
Answer: a = (1/4)pLeave a reply
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