SOLUTION: jouliana has $5.05 in quarters and dimes. The number of quaters exceed twice the number of dimes by 1.Find the number she has of each kind.

Question 235118: jouliana has $5.05 in quarters and dimes. The number of quaters exceed twice the number of dimes by 1.Find the number she has of each kind.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let

represent the number of dimes. Then the number of quarters must be

Since each dime is worth 10 cents, the value of the dimes, in cents is:

. Likewise, the value of the quarters, each worth 25 cents, must be

The value of the dimes plus the value of the quarters must equal the total value of all the coins, which is given as $5.05, but which can be expressed as 505 cents. So:

Just solve for

to get the number of dimes, double that and add one to get the number of quarters.

John

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