A farmer sells 8.4 kilograms of pears and apple at the market. 1/4 of this weight is pears and the rest is apples. How much kilograms of apples did she sell at the market

Respuesta :

Answer:

[tex]Weight = 6.3 kg[/tex]

Step-by-step explanation:

Given

[tex]Total = 8.4kg[/tex]

[tex]Pears = \frac{1}{4}[/tex]

Required

Determine the weight of apples

First, we calculate the fraction of apple.

[tex]Apple = 1 - Pears[/tex]

[tex]Apple = 1 - \frac{1}{4}[/tex]

Take LCM

[tex]Apple = \frac{4-1}{4}[/tex]

[tex]Apple = \frac{3}{4}[/tex]

The weight is then calculated as:

[tex]Weight = \frac{3}{4} * Total[/tex]

[tex]Weight = \frac{3}{4} * 8.4kg[/tex]

[tex]Weight = \frac{3* 8.4kg}{4}[/tex]

[tex]Weight = \frac{25.2kg}{4}[/tex]

[tex]Weight = 6.3 kg[/tex]

Hence, the apples weigh 6.4kg