Scolder2000
Answered

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A collection of quarters and dimes is worth $18.30. There are 111 coins in all.

How many of each coin are there?

[?] quarters
[?] dimes

Sagot :

luana
[tex]x-\ number\ of\ quarters\\ y\ number\ of\ dimes\\\\quarters=0.25\$\\ dimes=0.1\$\\\\ \left \{ {{x+y=111} \atop {0.25x+0.1y=18.3}} \right. \\\\ x=111-y\\\\ 0.25(111-y)+0.1y=18.3\\\\ 27.75-0.25y+0.1y=18.3\\\\ -0.24y+27.75=18.3\ \ \ \ | subtract\ 27.75\\\\ -0.15y=-9.45\ \ \ | divide\ by\ -0.15\\\\ y=63\\\\ x=111-63=48\\\\ There\ were\ 63\ dimes\ and\ 48\ quarters. [/tex]
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