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Sagot :
Using a system of equations, there are 9, 12 and 15 quarters, nickels and dimes respectively.
Creating a system of equations thus :
- n + d + q = 36 - - - (1)
- n = q + 3 - - - (2).
- d = q + 6 - - - (3)
Substitute for n and q
(q+3) + (q+6) + q = 36
3q + 9 = 36
3q = 36 - 9
q = 27 ÷ 3
q = 9 quarters
n = 9 + 3 = 12 nickels
d = 9 + 6 = 15 dimes
Hence, there are 9, 12 and 15 quarters, nickels and dimes respectively.
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