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Method 1 —
(a)
Box A ——– 100% + 128
Box B ——– 100%
25% x (100% + 128 ) = 25% + 32
Box A ——- 100% + 128 – 25% – 32 = 75% + 96
Box B ——- 100% + 25% + 32 = 125% + 32
Box C ——- (1/8) x 125% + 32 = 15.625% + 4
15.625% + 4 = 75% + 96 – 149
75% – 15.625% = 59.375% ——- 4 + 149 – 96 = 57
1% ——- 57/59.375 = 0.96
15.625% ——- 15.625 x 0.96 = 15
15 + 4 = 19

(b)
100% + 128 ——- 100 x 0.96 + 128 = 224

Method 2 —
(a)
At first —
Box A : 1u + 128
Box B : 1u

Joel moved 25% of the apples from Box A to Box B —
25% = 1/4
Box A : (3u/4) + 96
Box B : (5u/4) + 32
Then, he moved 1/8 of the apples in Box B to an empty Box C —
(5/4) x (7/8) = 35/32
Box B : (35u/32) + 28
1 – (7/8) = 1/8
(5/4) x (1/8) = 5/32
Box C : (5u/32) + 4
(3u/4) + 96 ——- (5u/32) + 4 + 149 = (5u/32) + 153
24u ——- 5u + 1824
1u ——- 1824/(24 – 5) = 96
[(5 x 96)/32] + 4 = 19

(b)
96 + 128 = 224

Ans : (a) 19 apples; (b) 224 apples.

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