Answer:
D. 192
Step-by-step explanation:
This problem involves a few steps. First, you need to determine how many eighth graders you have given that 112 represent 70% of the total number of eighth graders. You can solve this using a proportion:
[tex]\frac{70}{100}=\frac{112}{x}[/tex]
Cross-multiply and divide: 70x = 11200 or 70x/70 = 11200/70 or x = 160
Since there are 160 total eighth graders and this is [tex]\frac{5}{6}[/tex] of the amount of seventh graders, we can set up an equation to solve for the total amount of seventh graders:
160 = [tex]\frac{5}{6}[/tex]x
Multiply by the reciprocal of your fraction on both sides:
[tex]\frac{6}{5}[/tex] x 160 = [tex]\frac{5}{6}[/tex]x ([tex]\frac{6}{5}[/tex])
Solve for x: x = 192 seventh graders
