ANSWER:
There are 600 boys and 800 girls.
SOLUTION:
We are given the following facts:
- The total number of students is 1,400.
- The ratio of boys to girls is 3:4.
We express this as a partitive proportion.
» Solve for x.
- [tex] \sf 3x + 4x = 1400 [/tex]
- [tex] \sf 7x = 1400 [/tex]
- [tex] \sf x = \frac{1400}{7} [/tex]
- [tex] \sf x = 200 [/tex]
Now we to solve for the number of boys and the number of girls.
» Number of boys:
- = [tex] \sf 3x [/tex]
- = [tex] \sf (3)(200) [/tex] = [tex] {\boxed{\sf 600}} [/tex]
» Number of girls:
- = [tex] \sf 4x [/tex]
- = [tex] \sf (4)(200) [/tex] = [tex] {\boxed{\sf 800}} [/tex]
Thus, there are 600 boys and 800 girls. The sum of these is the total number of students in Shiloh Middle School.
HOPE IT HELPS!
