The Number of quarters and dimes Landon has on his piggy bank is (18, 10)
We could set up a system of linear equations thus :
q = d + 8 - - - - (1)
0.25q + 0.10d = 5.60 - - - - (2)
0.25(d + 8) + 0.10d = 5.60
0.25d + 2 + 0.10d = 5.60
0.35d + 2 = 5.60
0.35d = 5.60 - 2
0.35d = 3.60
Divide both sides by 0.35 to isolate d
d = 3.60 / 0.34
d = 10.28
From (1) :
q = d + 8
q = 10.28 + 8
q = 18.28
.Therefore, Landon has about 18 quarters and 10 dimes
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