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.

Respuesta :

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

108/24

Answer:

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

[tex]\frac{9}{2} =\frac{x}{24}[/tex]

[tex]\frac{9 \times 24}{2} =x[/tex]

[tex]108=x[/tex]

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 =[tex]\frac{108}{24}=108:24[/tex]