Question

When the smoke cleared, the ratio of believers to skeptics was 15 to 7.If they were 105 believers, how many skeptics were there? PLEASE ANSWER QUICK

Answer 1

`\large\boxed{49}`

Explanation:

Belivers to skeptics = 15 : 7

From the above ratio, we know that:

Believers = 15

Skeptics = 7

There were 105 believers, then we can rewrite the original ratio to be equal to the new one, to solve for x.

15 : 7 = 105 : x

Ratios can be written as fractions. Rewrite to simplify.

`(15)/(7)` =
`(105)/(x)`

Cross multiply (numerator * denominator = numerator * denominator)

7 * 105 = 15 *x

735 = 15x

Divide both sides of the equation by 15

x = 49

There were 49 skeptics.

Hope this helps! Let me know if you have any questions!