Karen's mom runs a dairy farm. Last year, Betty the cow gave 375 gallons less than twice the amount from Georgette the cow. Together, Betty and Georgette produced 1464 gallons of milk. Write an equation and solve for how many gallons of milk each cow produced.

Betty produced 613 gallons while Georgette produced 851 gallons

Step-by-step explanation:

Let Betty be X and Georgette be Y

The first equation

Y = 2x-375

Second equation

X+Y = 1464

This is simultaneous equation.

We are using substitution method

From equation 1 the value of Y = 2x-375

Substitute for the value of y in equation 2

X+Y = 1464

X + 2X - 375 = 1464

Collect like terms

3x=1464+375

3x = 1839

X = 613

To get the value of Y

Substitute for Y in equation 1

Y = 2x - 375

Y = 2 (613) - 375

Y = 1226 - 375

Y = 851

Since X = Betty and Y = Georgette

Betty produced 613 gallons while Georgette produced 851 gallons