SOLUTION: Beau has $2.30 in dimes and nickels, including five more dimes than nickels. How many nickels does Beau have? could you give me the steps i take in solving this

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Question 525621: Beau has $2.30 in dimes and nickels, including
five more dimes than nickels. How many nickels
does Beau have?
could you give me the steps i take in solving this

Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!

Let
Number of Nickels he has = x
Number of Dimes he has = x+5
Given
=====
Total Amount = $2.30=2.30*100=230 cents

(Number of Dimes)*10+(Numbr of Nickels)*5=230
(x+5)*10+x*5=230
10x+50+5x=230
15x=230-50
15x=180
15x/15=180/15
x=12

Number of Nickels he has = x = 12
Number of Dimes he has = x+5 = 12+5 = 17

Check
=====
12*5 + 10*17 = 230
60 + 170 = 230
230=230