Question #157eb

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Answer 1 · 2018-02-03T04:40:40

Betsy sold 60 and daisy sold 30

Assuming Betsy sells $b$ $b$ gallons of milk and Daisy sells $d$ $d$ gallons of milk:

$b + d = 90$ $b + d = 90$ because 90 gallons were sold totally

Therefore $b = 90 - d$ $b = 90 - d$ (Equation 1)

Betsy earns $ $4 b$ $4b$ because her milk costs $4 a gallon

Daisy earns $ $8 d$ $8d$ because her milk costs $8 a gallon

Therefore $4 b + 8 d = 480$ $4b + 8d = 480$ (Equation 2)

Now we must use simultaneous equations to arrive find the values of $b$ $b$ and $d$ $d$

Substituting equation 1 into 2,

We get 4(90 - d) + 8d = 480
By solving we get 4d = 480 - 360
Therefore d = $\frac{120}{4}$ $120/4$ = 30

Therefore from equation 1,
b = 90 - 30 = 60

Therefore Betsy sold 60 gallons and daisy sold 30.