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Prove that it is impossible to have $4.50 in dimes and quarters with the number of quarters being twice the number of dimes

Respuesta :

Answer:

See Explanation below for proof.

Step-by-step explanation:

Let number of dimes be D

Then number of quarters = 2D  

We then get the following VALUE equation: .1D + .25(2D) = 4.5

.1D + .5D = 4.5

.6D = 4.5

D, or number of dimes = 4.5/.6 = 7.5

There is no such thing as HALF a DIME, so it's NOT POSSIBLE