Let's work through the problem step by step.
Justin took 3/8 of the apples from the box, which means there were 1 - 3/8 = 5/8 of the apples left in the box.
Wynne took 2/5 of the remaining apples, so there were 1 - 2/5 = 3/5 of the apples left after Justin took his portion.
We are told that 51 apples were left after Wynne took her portion. Let's represent the total number of apples in the box initially as x.
So, we have the equation:
(3/5) * (5/8) * x = 51
To simplify this equation, we can multiply both sides by (5/8):
3/5 * x = 51 * 8/5
3/5 * x = 408/5
Next, multiply both sides by (5/3) to isolate x:
(5/3) * (3/5) * x = (408/5) * (5/3)
x = 408/3
x = 136
Therefore, there were initially 136 apples in the box.
Justin took 3 8 of the apples from a box wynne took 2 5 of the remaining apples if 51 apples were left how many apples were in the box at first?
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