Question

the teacher assigns 2 essays for every 60 days of school and 4 quizzes for every 40 days of school in 120 days of school how many essays and quizzes does the teacher give

Answer 1

Start by calculating the amount of quizes

find the relation between 40 days and 120 days

$\frac{120}{40}=3$

this relation will give you the periods of 40 days that will happen in 120 days.

multiply the amount of quizzes by the relation factor

$3\cdot4=12$

the teacher will give 12 quizzes in 120 days

apply the same procedure for the essays

$\frac{120}{60}=2$$2\cdot2=4$

the teacher will give 4 essays in 120 days of school