26. james has 27x apples, rachel has 51y oranges, and glen has 60z peaches. which of the following…

26. james has 27x apples, rachel has 51y oranges, and glen has 60z peaches. which of the following expressions represents the average number of pieces of fruit that james, rachel, and glen have? a. 9x + 51y + 60z b. 46x + 46y + 46z c. 9x + 17y + 60z d. 9x + 17y + 20z

26. james has 27x apples, rachel has 51y oranges, and glen has 60z peaches. which of the following expressions represents the average number of pieces of fruit that james, rachel, and glen have? a. 9x + 51y + 60z b. 46x + 46y + 46z c. 9x + 17y + 60z d. 9x + 17y + 20z

Answer

Explanation:

Step1: Find the total number of fruits

The total number of fruits is the sum of the fruits each person has, so it is $27x + 51y+60z$.

Step2: Calculate the average

The average is the total divided by the number of people. Since there are 3 people, the average is $\frac{27x + 51y + 60z}{3}$. Using the distributive property of division over addition $\frac{a + b + c}{n}=\frac{a}{n}+\frac{b}{n}+\frac{c}{n}$, we have $\frac{27x}{3}+\frac{51y}{3}+\frac{60z}{3}=9x + 17y+20z$.

Answer:

D. $9x + 17y + 20z$