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4 years ago

10

Mathematics

1 answer:

Alexeev081 [22]4 years ago

4 0

Answer:

The expression you can use to find out how many boys is b + (b - 84) = 1824

There are 954 boys at Southside High School

There are 870 girls at Southside High School

Step-by-step explanation:

Assume that the number of boys in the Southside High School is b

∵ There are b boys in the Southside High School

∵ The number of girls is 84 fewer than boys

→ Subtract 84 from b to find the number of girls

∴ The number of girls in the Southside High School is (b - 84)

∵ Southside High School has a total of 1824 students

→ That means the sum of the numbers of the boys and the girls is 1824

∴ b + (b - 84) = 1824

∴ The expression you can use to find out how many boys is

b + (b - 84) = 1824

→ Add the like terms in the left side

∴ (b + b) - 84 = 1824

∴ 2b - 84 = 1824

→ Add 84 to both sides

∵ 2b - 84 + 84 = 1824 + 84

∴ 2b = 1908

→ Divide both sides by 2 to find b

∵ $\frac{2b}{2}=\frac{1908}{2}$

∴ b = 954

∴ There are 954 boys at Southside High School

∵ The number of girls at Southside High School = b -84

→ Substitute b by 954

∴ The number of girls at Southside High School = 954 - 84

∴ The number of girls at Southside High School = 870

∴ There are 870 girls at Southside High School

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