Question

Joan has some dimes and quarters. If she has 19 coins worth a total of $2.35, how many of each type of coin does she have?

Answer 1

The number of each type of coin that Joan has are; 16 dimes and 3 quarters

How to convert currencies?

We are told that Joan has a total of 19 coins.

Now, the worth of the coins is $2.35

Let dimes be d and let quarters be q. Thus;

10d + 25q = 235

d + q = 19

Substitute d = 19 - q in the 1st equation to get;

10(19 - q) + 25q = 235

190 - 10q + 25q = 235

15q = 45

q = 45/15

q = 3

Thus;

d = 19 - 3

d = 16

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