SOLUTION: you have quarters and dimes that total 2.80. your friend says it is possible that the number of quarters is 8 more than the number of dimes. is your friend correct? explain

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Question 989693: you have quarters and dimes that total 2.80. your friend says it is possible that the number of quarters is 8 more than the number of dimes. is your friend correct? explain
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
q quarters and d dimes;
0.25q%2B0.1d=2.80
5q%2B2d=56


Friend says, q=8%2Bd.
Check how this is.
5%288%2Bd%29%2B2d=56
40%2B5d%2B2d=56
7d=56-40
7d=16
d=16%2F7-----------NOT a whole number.

The friend is wrong. The idea leads to d number of dimes being nonwhole.