Coins in Jar question.

There's a total of 75 coins in both quarters and dimes in the jar, while it's total worth is $14.25.

The question is asking for how much quarters there are.

Can anyone help?
in Algebra 1 Answers by Level 1 User (140 points)

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Call the number of quarters Q and the number of dimes D. So the value of the coins is 25Q+10D=1425.

The total coins Q+D=75, so D=75-Q. Substitute for D in the other equation:

25Q+10(75-Q)=1425; 25Q+750-10Q=1425; 15Q=1425-750=675, so Q=675/15=45. 

The number of quarters in the jar is 45 (and 30 dimes).

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