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Gareth has 15 total quarters and dimes with a total value of $2.10. A photo of a stack of quarters and a stack of dimes is shown. The system of equations can be used to solve for the number of each Gareth has. {Q+D=15 25Q+10D=210 Complete in the table to show the quantities and values of the coins Gareth has.

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Answer:

4 Quarters and 11 Dimes

Step-by-step explanation:

In the first equation, we know that [tex]D=15-Q[/tex] If we plug this into the second equation, we get 25q+10(15-Q)=210. If we simplify this equation, we get 25q+150-10q=210, which can be simplified to 15q+150=210. And since 15q=60, q=4. Then, you subtract 4 from 15, to get 11 dimes. So, there are 4 quarters and 11 dimes. Hopefully, this helps!

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