Question

A girl walked 8m from her house to market and she covered 4/5 of the distance the market. How far is the market from her house.(please show the working)

Answer 1

6.4m

Explanation:

`(4 \\ )/(5) * 8 =`

`(32)/(5)`

`= 6 (2)/(5) \: or \: 6.4`

Answer 2

The market is 10 m from the girl's house.

Explanation:

If a girl walked 8 m from her house to market and she covered 4/5 of the distance the market, then 8 m equals 4/5ths of the total distance from her house to the market.

Let x be the total distance from the girl's house to the market.

Create an equation with the given information and defined variable:

`\implies (4)/(5)x=8`

Multiply both sides of the equation by 5:

`\implies 5 \cdot (4)/(5)x=5 \cdot 8`

`\implies 4x=40`

Divide both sides of the equation by 4:

`\implies (4x)/(4)=(40)/(4)`

`\implies x=10`

Therefore, the market is 10 m from the girl's house.