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) (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
:
There are six more quarters than dimes.
q = d + 6
:
Now you can substitute (d+6) for q in the first equation
then solve for d
:
Then q = 6 more than that solution
:
Check your solutions in the 1st equation