In this line of circles, the ratio of red circles to blue circles is 1:3 How many more circles would need to be added to make the ratio of r

Question

In this line of circles, the ratio of red circles to blue circles is 1:3 How many more circles would need to be added to make the ratio of red to blue 3:1

in progress 0
Luna 2 weeks 2021-10-07T12:34:53+00:00 1 Answer 0

Answers ( )

    0
    2021-10-07T12:36:52+00:00

    Answer:

    The number of red circles to be added would be equal to 8 times the original amount of red circles

    Step-by-step explanation:

    Let

    x —-> the number of red circles

    y —-> the number of blue circles

    Originally

    \frac{x}{y}=\frac{1}{3}

    y=3x —-> equation A

    How many more circles would need to be added to make the ratio of red to blue 3:1

    Let

    n —-> the  number of additional red circles

    \frac{x+n}{y}=\frac{3}{1} —-> equation B

    substitute equation A in equation B

    \frac{x+n}{3x}=\frac{3}{1}

    solve for n

    x+n=9x\\n=9x-x\\n=8x

    therefore

    The number of red circles to be added would be equal to 8 times the original amount of red circles

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )