Question

15 POINTS! PLEASE ANSWER QUICKLY, W/ a CLEAR EXPLANATION
After Mia gave 1/4 of her milk to Dante, he had twice as much milk as Mia had. What was the initial ratio of Mia’s milk to Dante’s milk?

Answer 1

Use two variables:

M: initial milk quantity of Mia => quantity after she gave 1/4 of her milk to Dante = M - (1/4)M = 3M/4

D: initial milk quantity of Dante => D + M/4 Dante's quantity after Mia gave him 1/4 of her Milk

=> 3M/4 = 2(D + M/4)

You want the ratio M/D

3M/4 = 2D + M/2

3M/4 - M/2 = 2D

3M/4 - 2M/4 = 2D

M/4 = 2D

M/D = 4*2

M/D = 8

Answer: M/D = 8