Answer :
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
(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:
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=[tex]\dfrac{x}{4}[/tex]
Then she filled the remaining space with 4200 g of compost on Sunday.
The remaining space is:
[tex]x-\dfrac{x}{4}=\dfrac{4x-x}{4}=\dfrac{3x}{4}[/tex]
Now,
[tex]\dfrac{3x}{4}=4200\\\\3x=4\times 4200\\\\3x=16800\\\\x=\dfrac{16800}{3}\\\\x=5600[/tex]
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.