Sang-Jin has only quarters and nickels in her piggy bank. She has 66 coins in the bank with a value of $11.50. How many quarters are in Sang-Jin’s piggy bank?
_________
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OpenStudy (anonymous):
@Loser66 @wio
OpenStudy (dtan5457):
Your system of equations should be
0.25x+0.05x=11.50
x+y=66
I'd multiply the first equation by 100 to get rid of the decimals.
OpenStudy (dtan5457):
Know how to solve from here?
OpenStudy (anonymous):
no, sorry. you think you could explain a bit more? :) @dtan5457
OpenStudy (dtan5457):
(0.25x+0.05x=11.50)100?
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OpenStudy (anonymous):
x=3833.33333333? @dtan5457
OpenStudy (dtan5457):
You don't solve for x like that. Once you multiply by 100
25x+5y=1150
the 2nd one is still x+y=66 , which I would multiply by 25
25x+25y=1650
25x+5y=1150
subtract
20y=500
y=? (this is for nickels)
OpenStudy (anonymous):
25?
OpenStudy (dtan5457):
Exactly. So there is 25 nickels, 66 coins in total, how many quarters?
OpenStudy (anonymous):
40?
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OpenStudy (anonymous):
@dtan5457
OpenStudy (dtan5457):
66-25=?
OpenStudy (anonymous):
41. Sorry, I typed the wrong number into my calculator. :)