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

step-by-step explanation:

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