Answer:
[tex]\large\boxed{49}[/tex]
Step-by-step 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.
[tex]\frac{15}{7}[/tex] = [tex]\frac{105}{x}[/tex]
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!
