Answer: 60 more boys than girls watched the concert
Step-by-step explanation:
Let's denote:
g as the number of girls
b as the number of boys
Given:
g+b=420
g+b=420 (since there are a total of 420 children)
4/9 g = 1/3 b
From the second equation, we can find the relationship between g and b:
4/9 g = 1/3 b
4/9 g = 1/3 b(420−g) (since b = 420 − g)
4g=3(420−g)
4g=1260−3g
7g=1260
g= 1260/7
g=180
Now that we know there are 180 girls, we can find the number of boys:
b=420−g
b=420−180
b=240
Now, to find the difference between the number of boys and girls:
Difference=∣b−g∣
Difference=∣240−180∣
Difference=60
So, 60 more boys than girls watched the concert.
