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marin [14]
3 years ago
13

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?
Mathematics
2 answers:
yawa3891 [41]3 years ago
7 0
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
aliya0001 [1]3 years ago
7 0

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

Step-by-step 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.

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