The class has a 14:17 ratio of boys to girls. Thus, we can say the group has 31 students. From there we can set a proportion. On one side of the equals is the small group. On another side, the 186 total children. We put boys on top, children on the bottom.
Let B be the number of boys in total.
[tex] \frac{14}{31} = \frac{B}{186} [/tex]
We can either cross multiply or observe what happens on the bottom. On the bottom, how we do get from 31 to 186? We multiply by 6. So the top must get multiplied as well.
14 * 6 = 84
(If you cross multiply and solve for B, you get 31B = 2604. Divide both sides by 31, and 84 is the result.)
Thus, there are 84 boys.
Answer:
84
Step-by-step explanation:
14x6= 84
17x6= 102
102+84=186
