A man has 14 coins in his pocket, all of which are dimes and quarters. If the to

Algebra
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A man has 14 coins in his pocket, all of which are dimes and quarters. If the total value of his change is $2.15, how many dimes and how many quarters does he have?

dimes
quarters
Apr 21st, 2015

>et d = number of dimes and q = number of quarters 

then d + q =14  (the number of coins)                              [  and q = 14 -d]

and 0.1 d + 0.25 q = 2.15 (the value of the coins)

So 0.1 d + 0.25 (14 -d) = 2.15

10d + 25 ( 14 -d) = 215    by multiplying by 100


10d + 350 - 25d = 215

15d = 135

d = 9

So q = 14 -9 =5

(check 5 *$.25 + 9 * $.10 = 1.25 + 0.90 = $2.15

Apr 21st, 2015

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