SOLUTION: Kyle and Zoey have 135 crayons altogether. The number of crayons Kyle has is equal to 50% of Zoey's crayons. How many more crayons does Zoey have than Kyle?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Kyle and Zoey have 135 crayons altogether. The number of crayons Kyle has is equal to 50% of Zoey's crayons. How many more crayons does Zoey have than Kyle?      Log On


   



Question 1195154: Kyle and Zoey have 135 crayons altogether. The number of crayons Kyle has is equal to 50% of Zoey's crayons. How many more crayons does Zoey have than Kyle?
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
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Kyle and Zoey have 135 crayons altogether.
The number of crayons Kyle has is equal to 50% of Zoey's crayons.
How many more crayons does Zoey have than Kyle?
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Let x be number of the Zoey's crayons.

Then the number of Kyle's crayons is 0.5x.


The given is that

    x + 0.5x = 135,

or

      1.5x  = 135

which implies  x = 135%2F1.5 = 90.


Thus Zoey has 90 crayons, while Kyle has 0.5*90 = 45 crayons.


So, the answer to the problem is 90 - 45 = 45 crayons.

Solved, with full explanations.



Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Kyle and Zoey have 135 crayons altogether. The number of crayons Kyle has is equal to 50% of Zoey's crayons. How many more crayons does Zoey have than Kyle?
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IOW, Z has 2x as many crayons.
---> 45 and 90
45 more.