Envision Math 2.0: Grade 7, Volume 1
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Exercise 15 Page 5

Begin by finding the amount of pepper that Byron uses by multiplying the amount he starts with by the given fraction. Then divide that amount by the number of pepper shakers.

D

Practice makes perfect

We want to know how much black pepper will be in each shaker after Byron splits it. We know that he starts with 1 710 kilograms of the pepper and that he uses 78 of it. He then splits this amount of pepper between 7 pepper shakers. We will consider these things one at a time, beginning with finding out how much pepper Byron uses.

From the exercise, we know that Byron has 1 710 kilograms of pepper and he uses 78 of it to fill the shakers. This means that we need to multiply 1 710 by 78 to find the weight of black pepper he uses to fill the shakers. To do so, we will first rewrite the mixed number as a fraction, then multiply both fractions. Let's do it!
1 710* 7/8
1* 10+7/10* 7/8
10+7/10* 7/8
17/10* 7/8
17* 7/10* 8
119/80
Byron uses 11980 kilograms of black pepper to fill the pepper shakers. Next, we want to know how much pepper will be in each of the 7 shakers. To do so, we will divide the amount of pepper he uses by 7. This represents splitting the pepper equally between the shakers.
119/80÷ 7
119/80÷ 7/1
119/80* 1/7
119* 1/80* 7
119/80* 7
17 * 7/80 * 7
17/80
We found that there will be 1780 kilogram of black pepper in each shaker. That means the correct answer is D.