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andrezito [222]
3 years ago
14

A coin bank has 250 coins, dimes and quarters, worth $39.25. How many of each type of coin are there?

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
8 0
x-\ number\ of\ dimes\\y-\ number\ of\ quarters\\\\ \left \{ {{x+y=250\ \ \ | x=250-y} \atop {0.1x+0.25y=39.25\ \ \ \ \ \ \ \ \ \ \ \ \ }} \right. \\\\ substitution\ method\\\\
0.1(250-y)+0.25y=39.25\\\\
25-0.1y+0.25y=39.25\\\\
25+0.15y=39.25\ \ \ \ | subtract\ 25\\\\0.15y=14.25\ \ \ \ | divide\ by\ 0.15\\\\y=95\\\\x=250-95=
155\\\\
There\ are\ 155\ dimes\ and\ 95\ quarters.
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