The ratio of the number of boys to the number of girls in a certain school club is 3 to 4. if there are 5 more girls than boys in the club, how many girls are in the club

there are 20 girls in the club

Step-by-step explanation:

Let b represent the number of boys in the school club.

Let g represent the number of girls in the school club.

The ratio of the number of boys to the number of girls in a certain school club is 3 to 4. This means that

3/4 = b/g

3g = 4b

b = 3g/4

If there are 5 more girls than boys in the club, it means that

g = b + 5 - - - - - - - - - - - 1

Substituting b = 3g/4 into equation 1, it becomes

g = 3g/4 + 5

Multiplying through by 4

4g = 3g + 20

4g - 3g = 20

g = 20

substituting g = 20 into b = g - 5, it becomes,

b = 20 - 5 = 15

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).