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Sagot :
Explanation
To solve the question, we have to convert the coins the same units
A dime is worth 10 cents. A quarter is worth 25 cents.
So we will have
Let dimes be d
Let quarter be q
Since there are 8 coins
Then
[tex]d+q=8[/tex]Also
[tex]0.1d+0.25q=1.7[/tex]So we can now solve the equations as follow
[tex]\mathrm{Substitute\:}d=8-q[/tex][tex]\begin{gathered} \begin{bmatrix}0.1\left(8-q\right)+0.25q=1.7\end{bmatrix} \\ \\ \begin{bmatrix}0.8+0.15q=1.7\end{bmatrix} \\ \\ q=6 \end{gathered}[/tex]Next, we will have to get d
[tex]\begin{gathered} d=8-q \\ d=8-6=2 \\ d=2 \end{gathered}[/tex]Therefore, there are 2 dimes
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