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

Answer:

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

5.6 kilograms.

Step-by-step 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=$\dfrac{x}{4}$

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

The remaining space is:

$x-\dfrac{x}{4}=\dfrac{4x-x}{4}=\dfrac{3x}{4}$

Now,

$\dfrac{3x}{4}=4200\\\\3x=4\times 4200\\\\3x=16800\\\\x=\dfrac{16800}{3}\\\\x=5600$

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.

Answer 2

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