Question

Given: The ratio of the number of boys to the number of girls at Liam's school is 4:5. There are 270 students at his school. Statement 3: There are exactly 30 more girls than boys. True False Explain your thinking.

Answer 1

Answer: True

Explanation:

Given: The ratio of the number of boys to the number of girls at Liam's school is 4:5.

There are 270 students at his school.

Then, Total boys =
`(4)/(4+5)*270=(4)/(9)*270=120`

Total girls =
`(5)/(4+5)*270=(5)/(9)*270=150`

Clearly, (Number of girls) > (Number of boys)

Difference = (Total girls) - (Total boys)

= 150-120

= 30

So, Statement 3: "There are exactly 30 more girls than boys". is absolutely true.