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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
∵
∴ 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