SOLUTION: Sandy has $3.75 in change. She has three more quarters than dimes but twice as many nickels as quarters. Express the given information as an algebraic expression and simplify.
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Question 151399: Sandy has $3.75 in change. She has three more quarters than dimes but twice as many nickels as quarters. Express the given information as an algebraic expression and simplify. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Sandy has $3.75 in change. She has three more quarters than dimes but twice as many nickels as quarters. Express the given information as an algebraic expression and simplify.
:
"Sandy has $3.75 in change."
.05n + .10d + .25q = 3.75
:
" She has three more quarters than dimes"
q = d + 3
or
d = (q-3)
:
" but twice as many nickels as quarters."
n = 2q
:
Express the given information as an algebraic expression and simplify.
;
.05n + .10d + .25q = 3.75
:
Substitute for n and d, and you have:
.05(2q) + .10(q-3) + .25q = 375
:
.10q + .10q - .3 + .25q = 3.75
:
.45q = 3.75 + .3
:
.45q = 4.05
q =
q = 9 quarters
:
It's a simple matter to find n and d:
