Respuesta :
Answer:
30 gallons
Step-by-step explanation:
let x represent the full container, then
[tex]\frac{1}{10}[/tex] x + 21 = [tex]\frac{4}{5}[/tex] x
Multiply through by 10 to clear the fractions
x + 210 = 8x ( subtract x from both sides )
210 = 7x ( divide both sides by 7 )
30 = x
The volume of the container is 30 gallons
Answer: the volume of the container is 30 gallons
Step-by-step explanation:
Let V represent the volume of the container, in gallons.
The initial volume of grains in the container is 1/0 × V = V/10
If 21 additional gallons of grain are added, the container is 4/5 full. This means that 21 gallons of grain + V/10 will occupy 4/5 of the volume of the container. Therefore
4/5 × V = 21 + V/10
4V/5 = 21 + V/10
4V/5 - V/10 = 21
7V/10 = 21
Multiplying the left hand side and right hand side of the equation by 10, it becomes
7V/10 × 5 = 21 × 10 = 210
7V = 210
V = 210/7 = 30