Question

After Mia gave 1/4 of her milk to Dante, Dante had twice the amount of milk as Mia. What was the ratio of the amount of milk Mia had to the amount of milk Dante had at first?

Answer 1

Answer:

4:5

Step-by-step explanation:

You start with the equation:

2(3/4m)=D+1/4m

Simplify it to solve:

5/4m=D

Answer 2

The ratio of the amount of milk Mia had to the amount of milk Dante had at first = 4 : 5

What is ratio?

"It is the comparison of two quantities of the same kind."

What is an equation?

"It is a mathematical statement which consists of equal symbol between two mathematical statements."

For given question,

Let 'x' be the initial amount of milk Mia had and 'y' be the initial amount of milk Dante had.

After Mia gave 1/4 of her milk to Dante, Dante had twice the amount of milk as Mia.

We write above statement inn equation form as,

$2(\frac{3}{4} x)=(y+\frac{1}{4} x)$

We simplify above equation to find the ratio of the amount of milk Mia had to the amount of milk Dante had at first.

$\Rightarrow 2(\frac{3}{4} x)=(y+\frac{1}{4} x)\\\\\Rightarrow \frac{6}{4}x- \frac{1}{4} x=y\\\\\Rightarrow \frac{5}{4}x=y\\\\ \Rightarrow \frac{x}{y} =\frac{4}{5}\\\\ \Rightarrow x:y=4:5$

Therefore, the ratio of the amount of milk Mia had to the amount of milk Dante had at first = 4 : 5

Learn more about the ratio here:

https://brainly.com/question/20387079

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