Deangelo has $7 worth of dimes and quarters in a jar. he has 7 more quarters than dimes. how many of each coin does he have? enter your answers in the boxes. _dimes and _ quarters

There are 15 dimes and 22 quarters in the jar.

Step-by-step explanation:

Deangelo has $7 worth of dimes and quarters in a jar.

Let he has d number of dimes and q number of quarters in a jar.

0.10d + 0.25q = 7 -------(1)

He has 7 more quarters than dimes.

q = d + 7 -------(2)

We replace the value of y from equation 2 in the equation 1

0.10d + 0.25(d + 7) = 7

0.10d + 0.25d + 1.75 = 7

0.35d = 7 - 1.75

0.35d = 5.25

d = dimes

Now we put this value in the equation number 2

q = 15 + 7 = 22

Therefore, number of dimes and quarters are 15 and 22 respectively.

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