Question 44768
Your equations are set up correctly.
x+y=180
.05x+.10y=13
I rewrite the 2nd quation like this (multiplying by 100)
5x+10Y=1300
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x=180-y
5(180-y) +10y=1300
930-5y+10y=1300
5y=1300-930
5y=370   y=370/5=54
x=180-54=126

x=126(nickels)
y=54(dimes)