There are 2 essays for every 60 days of school. There are 4 quizzes for every 40 days of school. In 120 days how many essays and how many quizzes will the teacher give the class?

In 120 days , teacher will give5 4 essays and 12 quizzes.

Step-by-step explanation:

Given: There are 2 essays for every 60 days of school.

Multiply 2 on both sides [as number of essays is proportional to number of days]

we get, there are 4 essays for every 120 days.

Also,  There are 4 quizzes for every 40 days of school.

Multiply both sides by 3, we get

There are 12 quizzes for every 120 days of school.

Hence, in 120 days , teacher will give5 4 essays and 12 quizzes.

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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step-by-step explanation:

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