Answer:
The volume of milk each cow produce are:
Betty = 851 litres
Bessie = 613 litres
Step-by-step explanation:
Let the volumes of milk from each of them be:
Betty = X litres
Bessie = Y litres
We are given the following information:
X = 2Y - 375 . . . . . . (1) <em>(Betty the cow gave 375 litres less than twice the amount the amount from Bessie the cow)</em>
X + Y = 1464 . . . . . . (2) <em>(Together Betty and Bessie produced 1464 litres of milk)</em>
Next, we will replace the value of 'X' in equation (2) with equation (1) as follows:
X = 2Y - 375 . . . . . . (1) ; X + Y = 1464 . . . . . . (2)
Therefore, equation (2) becomes:
(2Y - 375) + Y = 1464
2Y + Y - 375 = 1464
3Y - 375 = 1464
3Y = 1464 + 375 = 1,839 (divide both sides by 3)
∴ Y = 1839 ÷ 3 = 613 litres
Finally, from equation 2, we have X + Y = 1464 ; since Y = 613, solving for X:
X + Y = 1464
X + 613 = 1464
X = 1464 - 613 = 851 litres
Therefore:
Betty (X) = 851 litres
Bessie (Y) = 613 litres
