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shari has 17 coins consisting of dimes and quarters worth $3.35. how many quarters and how many dimes does she have?

She has 11 quarters and 6 dimes.

Step-by-step explanation:

Let "d" represent the amount of dimes Shari has.

Let "q" represent the amount of quarters Shari has.

The amount a dime and a quarter can be represented by decimals.

.10 = a dime

.25 = a quarter

Write a systems of equations and solve.

.10d + .25q = 3.35

d + q = 17

I'm going to solve this using the substitution method.

d + q = 17

subtract "q" from both sides

d = 17 - q

Substitute 17 - q for "d" in the first equation.

.10(17 - q) + .25q = 3.35

Distribute

1.7 - .10q + .25q = 3.35

Combine like terms

1.7 + 0.15q = 3.35

Solve for "q"

Subtract 1.7 on both sides

0.15q = 1.65

Divide by 0.15 on both sides

She has 11 quarters.

Plug in 11 for "q" in the second equation.

d + 11 = 17

Subtract 11 on both sides

d = 6

She has 11 quarters and 6 dimes.

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step-by-step explanation: