Question

Jemma filled one-fourth of a barrel with compost on Saturday. Then she filled the remaining space with 4200 g of compost on Sunday.How many kilograms of compost are in the barrel?

Answer 1

3/4 of what equals 4200?
(3x)/4 = 4200

Rearrange to find x:
x = (4200*4)/3
= 5600

5600 g = 5.6 kg

5.6 kg of compost are in the barrel

Answer 2

Hence, the amount of the compost in the barrel is:

5.6 kilograms.

Explanation:

Let x be the total grams of the compost in the barrel.

Jemma filled one-fourth of a barrel with compost on Saturday.

i.e. the amount he filled on saturday=
`(x)/(4)`

Then she filled the remaining space with 4200 g of compost on Sunday.

The remaining space is:

`x-(x)/(4)=(4x-x)/(4)=(3x)/(4)`

Now,

`(3x)/(4)=4200\\\\3x=4* 4200\\\\3x=16800\\\\x=(16800)/(3)\\\\x=5600`

Hence, the total amount of compost in the barrel=5600 grams.

Also we know that:

1 kg=1000 grams

⇒ 1 grams=1/1000 kg=0.001 kg

Hence,

5600 grams=5.6 kilograms

Hence, the amount of the compost in the barrel is:

5.6 kilograms.