we will have to buy 12.
We know to begin with that for x candy bards:
x / 10 = 0.89; x = 8.90
We are trying to ascertain how many bars (y) must be added to this to amount to have an average of 0.80. This is represented:
(8.9 + 0.72y) / (10 + y) = 0.8
8.9 + 0.72y = 0.8 (10 + y)
8.9 + 0.72y = 8 + 0.8y
8.9 – 8 = 0.8y - 0.72y
0.9 = 0.08y
y = 0.9 / 0.08 = 11.25
However, since we cannot have a partial amount of candy bars, we will have to buy 12.
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