Question

Karins mom runs a dairy farm. Last year Betty the cow gave 375 gallons less than twice the amount from Bessie the cow. Together, Betty and Bessie produced 1464 gallons of milk. How many gallons each cow give?

Answer 1

x = bessie and y = betty

x + y = 1464
y = 2x - 375

x + 2x - 375 = 1464
3x - 375 = 1464
3x = 1464 + 375
3x = 1839
x = 1839/3
x = 613 <== Bessie gave 613 gallons

y = 2x - 375
y = 2(613) - 375
y = 1226 - 375
y = 851 <== Betty gave 851 gallons

Answer 2

Answer: Betty the cow gave 851 gallons and Bessie the cow gave 613 gallons of milk.

Explanation:

Let x be the amount of milk given by Bessie the cow.

Given : Karins mom runs a dairy farm. Last year Betty the cow gave 375 gallons less than twice the amount from Bessie the cow.

Then, the amount of milk given by Betty the cow will be
`2x-375`.

Together, Betty and Bessie produced 1464 gallons of milk.

Then, according to the question, we have

`x+2x-375=1464\\\\\Rightarrow\ 3x-375=1464\\\\\Rightarrow\ 3x=1464+375\\\\\Rightarrow\ 3x=1839\\\\\Rightarrow\ x=\dfraxc{1839}{3}=613`

Also,
`2(613)-375=851`

Hence, Betty the cow gave 851 gallons and Bessie the cow gave 613 gallons of milk.