Question

The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5 : 2 but, after Jacky gave 15 dolls to Peter, they have an equal number of dolls. How many dolls did they have altogether?
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Answer 1

The number of dolls Jacky is 50 and the number of dolls Peter is 20. Then the total number of dolls is 70.

What are ratio and proportion?

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.

The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5: 2.

$\rm \dfrac{x}{y}=\dfrac{5}{2}$

Let the number of dolls Jacky be x and the number of dolls Peter be y.

But, after Jacky gave 15 dolls to Peter, they have an equal number of dolls. Then we have

x - 15 = y + 15

     x = y + 30

Then we have

$\begin{aligned} \rm \dfrac{y+30}{y} &=\dfrac{5}{2}\\\\2y + 60 &= 5y \\\\3y &= 60 \\\\y &= 20 \end{aligned}$

Then x will be

x = y + 30

x = 20 + 30

x = 50

Then the total number of dolls they have altogether will be 70.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762