SOLUTION: A girl has nickels and quarters in her bank.She has four fewer nickels than quarters.she has $3.70 in her bank . How many coins of each type does she have?
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Question 363305: A girl has nickels and quarters in her bank.She has four fewer nickels than quarters.she has $3.70 in her bank . How many coins of each type does she have? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! let n = no. of nickels
let q = no. or quarters
:
Write an equation for each statement:
:
"She has four fewer nickels than quarters."
n = q - 4
:
"she has $3.70 in her bank."
.05n + .25q = 3.70
:
Use substitution here, replace n with (q-4), find q
.05(q-4) + .25q = 3.70
.05q - .20 + .25q = 3.70
.05q + .25q = 3.70 + .20
.30q = 3.90
q =
q = 13 quarters
then
n = 13 - 4
n = 9 nickels
:
:
Check:
.05(9) + .25(13) =
.45 + 3.25 = 3.70
