Answered

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Sarah has 25 coins. They are all dimes and quarters. She has a total of $3.40. How many of each typeof coin does she have?

Sagot :

ANSWER

EXPLANATION

Sara has 25 coins.

They are made up of quarters and dimes.

Let the number of quarters be q.

Let the number of dimes be d.

Therefore:

q + d = 25____(1)

She has a total of $3.40.

One quarter is worth $0.25

One diime is worth $0.10

Therefore, the number of quarters multiplied by the value of a quarter plus the number of dimes multiplied by the value of a dime is going to be $3.40:

0.25q + 0.10d = 3.40 _____(2)

We now have a system of equations:

q + d = 25____(1)

0.25q + 0.10d = 3.40 _____(2)

From (1):

q = 25 - d

Put this in (2):

0.25(25 - d) + 0.10d = 3.40

=> 6.25 - 0.25d + 0.10d = 3.40

Collect like terms:

6.25 - 3.40 = 0.25d - 0.10d

2.85 = 0.15d

=> d =

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