Question

Courtney bought melons from the market at 6 for $5 and sold them at her fruit store at a price of 3 for $4. If she made a profit of $84, how many melons did she sell?

Answer 1

Given :

The cost price for 6 melons = $ 5

The selling price for 3 melons = $ 4

The profit amount made = $ 84

To Find :

The number of melons sold

Solution :

Let The number of melons bought = number of melons sold = n melons

According to question

∵  The cost price for 6 melons = $ 5

∴  The cost price for 1 melon = $ $\dfrac{5}{6}$

Or, The cost price for n melons = $ $\dfrac{5}{6}$ × n

Again

∵  The selling price for 3 melons = $ 4

∴  The selling price for 1 melon = $ $\dfrac{4}{3}$

Or, The selling price for n melons = $ $\dfrac{4}{3}$ × n

Now,

∵  Profit = Selling Price - Cost price

Or, $ 84 =  $ $\dfrac{4}{3}$ × n -  $ $\dfrac{5}{6}$ × n

Or,    $\dfrac{8-5}{6}$ × n = 84

Or,  $\dfrac{3}{6}$ × n = 84

∴          n = $\dfrac{84\times 6}{3}$

              = 168

Hence, The Total number of melons are 168  Answer