SOLUTION: How do you put the following word problem into two equations: A collection of dimes and quarters totals $9.90. There are six more quarters than dimes. How many of each coin are the

Algebra ->  Equations -> SOLUTION: How do you put the following word problem into two equations: A collection of dimes and quarters totals $9.90. There are six more quarters than dimes. How many of each coin are the      Log On


   



Question 731645: How do you put the following word problem into two equations: A collection of dimes and quarters totals $9.90. There are six more quarters than dimes. How many of each coin are there?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
let d = no. of dimes
let q = no. or quarters
:
Write an equation for each statement:
:
"A collection of dimes and quarters totals $9.90."
.01d + .25q = 9.90
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There are six more quarters than dimes.
q = d + 6
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Now you can substitute (d+6) for q in the first equation
then solve for d
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Then q = 6 more than that solution
:
Check your solutions in the 1st equation