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Brandon has a jar of quarters and dimes with a total value of $6.05. The number of quarters is 7 less than twice the number of dimes. How many quarters and how many dimesdoes Brandon have?Number of quarters -Number of dimes -

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SOLUTION:

In this problem.

Let number of dimes = x, then number of quarters = 2x - 7.

The monetary values of quarters and dimes are;

[tex]\begin{gathered} 0.1x+0.25(2x-7)=6.05 \\ 0.1x+0.5x-1.75=6.05 \\ 0.6x=7.8 \\ x=13 \end{gathered}[/tex]

Thus, 2( 13) - 7 = 19.

Therefore, there are 13 dimes and 19 quarters.

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