Breehappyidn
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At a fruit stall, 1/8 of the fruits are apples, 1/4 are oranges and 2/5 of the remainder are mangoes. If there are 72 mangoes, what is the total number of fruits?

This problem is for 4th to 6th Graders, kindly explain it in a simple way. Thank you!

Sagot :

Chubs123idn

Answer:

Let x be the total number of fruits at the fruit stall.

Since ¼ x are oranges, and ⅛ x are apples. By adding them and subtracting them by x, we would know the amount of the remaining fruits.

¼ x + ⅛ x = ⅜ x <-- Adding the apples and oranges

x - ⅜ x = ⅝ x <-- Getting the amount of remaining fruits

Since mangoes are 1/5 of the remaining fruits, and the amount of the remaining fruits are ⅝ x, to get the amount of mangoes, we must multiply 1/5 by ⅝ x. And since we know that there are 72 mangoes, the equation would be like this:

1/5 × ⅝ x = 72 <-- Equation

5/40 x = 72 <-- Solved the equation

1/8 x = 72 <-- Simplify

Now, we know that 72 is ⅛ of x. We must multiply both sides by 8 to get only x

(8) 1/8 x = (8) 72

x = 576

There are a total of 576 fruits in the fruit stand.

Step-by-step explanation: