The number of quarters and dimes Brandon have is 12 and 8 respectively
Given:
let
number of quarters = q
number of dimes = d
$1 = 100 pennies
$1 = 100 pennies$3.80 = 380 pennies
$1 = 100 pennies$3.80 = 380 pennies1 dime = 10 pennies
$1 = 100 pennies$3.80 = 380 pennies1 dime = 10 pennies1 quarters = 25 pennies
10d + 25q = 380 (1)
q = 2d - 4 (2)
substitute (2) into (1)
10d + 25(2d - 4) = 380
10d + 50d - 100 = 380
60d = 380 + 100
60d = 480
d = 480 /60
d = 8
Recall,
q = 2d - 4
= 2(8) - 4
= 16 - 4
q = 12
Therefore, the number of dimes is 8 and the number of quarters is 12
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