Question

Sara and Geena can both do flips in the air. The ratio of the number of flips Sara can do to the number of flips Geena can do is 3:8. Geena can do 120 more flips than Sara. If Sara increases the number of her flips by 3 and Geena decreases the number of her flips by 12, what will be the new ratio of the number of flips Sara can do to the number of flips Geena can do?

Answer 1

75:180, or 5:12

Explanation:

Let's think of it as a story, to make things easier.

There are two worlds, the ratio world and the real world.

In the ratio world, the number of flips Sara can do to how many Geena can do is: 3:8

In the real world, the number of flips Sara can do to how many Geena can do is: 3x and 8x.

Since we have to find x and we know that Geena can do 120 more flips than Sara, this is the equation:

3x+120= 8x

Subtract 3x on both sides to get:

120=5x

Divide 5 on both sides to equal:

24=x

Now that we know 24 is x, the number of flips Sara can do to how many Geena can do is:

75:180

If you simplify it, the answer is:

5:12

Glad if it helped! :)

Answer 2

(G:S) = (3:20)

Explanation:

Let represent number of Sara flips by S

And number of Geena flips by G

From the information

Geena can do 120 more flips than sara

∴G = S + 120

Also ratio (S:G) = (3:8)

Meaning that G = 8 and S = 3

G= S + X

X = G - S

X = 8 - 3

X= 5

This mean 120 is the ratio of X

Ratio of 1 will be equal to 120/5

24

Ratio S = 24 x 3 = 72

Ratio G= 24 x 8 = 192

The original ratio (G:S) = (72:192)

If Geena reduces her flip by 12

That Is 192 - 12= 180

And Sara increases her flip by 3

24+3= 27

Then the new ratio will be

(27:180)

If you divide through by 9 the new ratio will be

27/9 =3 : 180/9 = 20

(G:S) = (3:20)