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

Step-by-step 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 = $\dfrac{4}{4+5}\times270=\dfrac{4}{9}\times270=120$

Total girls =$\dfrac{5}{4+5}\times270=\dfrac{5}{9}\times270=150$

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.