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 flips she can do by 3 and Geena decreases the number of flips she can do 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

Answer : Ratio=5:12

Explanation:

Let the number of flips Sara can do=3x

Let the number of flips Geena can do=8x

According to question,

It has given that no.of flips done by Geena is 120 more than no.of flips done by Sara, So,

⇒8x-3x=120

⇒5x=120

⇒x=120/5

⇒x=24

So, Sara can do= 3× 24=72 flips

Geena can do=8×24=192 flips

Now,

If Sara increases her flips by 3 ,

it becomes 72+3=75 flips,

Similarly,

If Geena decreases her flips by 12,

it becomes 192-12=180.

∴ Ratio becomes 75:180

=5:12

Therefore, New ratio of the number of flips Sara to the number of flips Geena is 5:12

Answer 2

Answer:

75:180, or 5:12

Step-by-step 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! :)