Question

Each month, Stacey places a portion of her earnings in a retirement account. Her savings are invested in two companies. For every $9 invested in company A, $2 is invested in company B. Stacey quizzes her children, Krista and Kevin, about how much money she will invest in company A if she invests $24 in company B.What is the ratio of the amount invested in company A to the amount invested in company B? Write the answer as a fraction using the values given. Do not include any variables.

Answer 1

9/2 = x/24
2x = 216
x = 108

108/24

Answer 2

We are given that Stacey places a portion of her earnings in a retirement account. For every $9 invested in company A, $2 is invested in company B.

Ratio of amount invested in Company A to Company B = 9:2

Now we are given that she invests $24 in company B

So, let x be the amount she invested in Company A

So, Ratio of amount invested in Company A to Company B = x:24

ATQ

`(9)/(2) =(x)/(24)`

`(9 * 24)/(2) =x`

`108=x`

So, she will invest $108 in company A if she invests $24 in company B.

The ratio of the amount invested in company A to the amount invested in company B =
`(108)/(24)=108:24`