In Landon's piggy bank he has $5.60 worth of quarters ($0.25) and dimes ($0.10). Landon has 8 more quarters than dimes in his piggy bank. How many quarters (q) and dimes (d) does Landon have in his piggy bank? List you answer as a point (q,d).

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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 :

  • Dimes = d
  • Quarters = q
  • q = d + 8

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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