The number of boys and girls in a class are in the ratio 4 : 7. There are 15 more girls than boys. find the number of total students in the class

The number of total students in the class is 55

Step-by-step explanation:

We will use the ratio method to solve the question

∵ The number of boys and girls in a class are in the ratio 4: 7

∵ There are 15 more girls than boys

→ That means the difference between them is 15

∵ The difference between the terms of their ratio = 7 - 4 = 3

→ By using the ratio method

→  boy  :  girl  :  difference

→  4      :  7      :  3

→  x      :  y      :  15

→ By using cross multiplication

∵ x × 3 = 4 × 15

∴ 3x = 60

→ Divide both sides by 3

∴ x = 20

∵ y × 3 = 7 × 15

∴ 3y = 105

→ Divide both sides by 3

∴ y = 35

∵ x represents the number of boys

∴ The number of boys is 20

∵ y represents the number of girls

∴ The number of girls is 35

∴ The total number of students = 20 + 35 = 55

∴ The number of total students in the class is 55

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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