SOLUTION: A delivery boy collected $5.35 part in 5 cents and part in 10 cents. If the no. of 5 cents were 7 more than one-half the no. of 10 cents coin. How many 5 cents were there? Pleas

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Question 11016: A delivery boy collected $5.35 part in 5 cents and part in 10 cents. If the no. of 5 cents were 7 more than one-half the no. of 10 cents coin. How many 5 cents were there?
Please help me to solve this problem. Similar prob. will be given in our test tomorrow. thanks in advance.
Beth
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
define:
let number of 5cents be y
let number of 10cents be x

0.05y + 0.10x = 5.35 --> NOTE: all monies HAVE to be in the same units. Either everything in cents or everything in dollars.

also, y = 7 + x/2
--> 2y = 14 + x
--> 2y - x = 14
--> 0.2y - 0.1x = 1.4

So, we have:
0.05y + 0.1x = 5.35
0.2y - 0.1x = 1.4

You solve these.
Answers are x=40, y=27

jon.