Arnold had 1.70 in dimes and quarters. Help with writing an equation from the word problem

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Arnold had $1.70 in dimes and quarters. He had 3 more dimes than quarters. How many of each coin did he have? 

I need help writing the equation from this step by step. 

Jun 19th, 2015

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Jun 19th, 2015

suppose Arnold had x dimes and y quarters
value of x dimes = 10x cents
y quarters =25y cents
tolal value =10x+25y cents
by the problem 10x+ 25y=170..............(1)
and x=y+3........................(2) 
replacing the value of x in (1) we have 10(y+3) + 25y=170
or 10y + 30 + 25y=170
or 35y= 170-30=140
y= 4 
x=y+3
x= 4+3
x=7 
Arnold had 7 dimes and 4 quarters 

Jun 19th, 2015

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Jun 19th, 2015
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