SOLUTION: When jessy emptied out his big jar of quarters and nickles he found 144 coins. If there was $28.40 in the jar, how many of each kind of coin was there?

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Question 20511: When jessy emptied out his big jar of quarters and nickles he found 144 coins. If there was $28.40 in the jar, how many of each kind of coin was there?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the number of quarters ($0.25) and (144-x) = the number of nickels ($0.05) and they all add up to $28.40. So now you can write the necessary equation:
x%280.25%29+%2B+%28144-x%29%280.05%29+=+28.40 Simplify and solve for x.
0.25x+%2B+7.2+-+0.05x+=+28.40
0.2x+%2B+7.2+=+28.4 Subtract 7.2 from both sides.
0.2x+=+21.2 Divide both sides by 0.2
x+=+106
There are 106 quarters and (144-106 = 38) 38 nickels.