Question

at a market stall 60℅ of the mangoes sold are green. all the ripe mangoes and 1/5 of the green mangoes were sold. if 78 were sold, how many mangoes were there at first?

Answer 1

Let's use the variable x to represent the total number of mangoes.

If 60% of the mangoes are green, so the other 40% are ripe mangoes.

If all the ripe mangoes and 1/5 of the green mangoes corresponds to 78 mangoes, so we can write the following equation:

$40\text{\%}\cdot x+\frac{1}{5}\cdot60\text{\%}\cdot x=78$

Solving this equation for x, we have:

$\begin{gathered} 0.4x+\frac{1}{5}\cdot0.6\cdot x=78 \\ 0.4x+0.12x=78 \\ 0.52x=78 \\ x=\frac{78}{0.52} \\ x=150 \end{gathered}$

Therefore the initial amount of mangoes is 150.