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Name: you are having a dinner party for 15 people, and one item on the menu
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Description: you are having a dinner party for 15 people, and one item on the menu is avocado and grapefruit salad. Each salad calls for 1/3 of an avocado and 1/2 of a grapefruit, both peeled and seeded. How many avacodos and grapefruits will you need if the yiel

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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you are having a dinner party for 15 people, and one item on the menu is avocado and grapefruit salad. Each salad calls for 1/3 of an avocado and 1/2 of a grapefruit, both peeled and seeded. How many avacodos and grapefruits will you need if the yield percent for avocados is 60% and for grapefruit is 50% ?

Expert Solution

Step 1

Let A and G represent the number of avocados and grapefruits needed.

Given that the yield percent for avocado is 60%.

It means that only 60% of the avocado is available for use in the salad,

$\Rightarrow A_{s} = 0.6 A$

Similarly, 50% of grapefruit is available for use in the salad,

$\Rightarrow G_{s} = 0.5 G$

Given that each salad requires $\frac{1}{3} r d$ of an avocado and $\frac{1}{2} t h$ of a grapefruit,

$\Rightarrow \frac{1}{3} \cdot A_{s} + \frac{1}{2} \cdot G_{s} = 1 s a l a d \Rightarrow \frac{1}{3} \cdot (0.6 A) + \frac{1}{2} \cdot (0.5 G) = 1 s a l a d \Rightarrow 0.2 A + 0.25 G = 1 s a l a d$

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