A tank and a pail contain a total of 5136 milliliter of water. Jacob pours 314 milliliters of water from the pail into tank. The amount of water in the tank is now 7 times what is left in the pail. How much water was in the pail at first?

Respuesta :

Catya
let t = mL water in tank
let p = mL water in the pail

Start with the first statement
t + p = 5136

Second statement
7(p - 314) = t + 314

Use substitution to re-write as one equation in one variable.

t = 5136 - p

7(p - 314) = 5136 - p + 314
7p - 2198 = 4822 - p
7p + p = 4822 + 2198
8p = 7020
p = 7020/8
p = 877.5 mL