Q. 2.83 Orlando is mixing nuts and cerea... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 2: Q. 2.83 (page 154)

Orlando is mixing nuts and cereal squares to make a party mix. Nuts sell for $7 a pound and cereal squares sell for $4 a pound. Orlando wants to make 30 pounds of party mix at a cost of $6.50 a pound. how many pounds of nuts and how many pounds of cereal squares should he use?

Short Answer

Expert verified

The used nut is = 25 pound

The used cereal squares is = 5 pound

Step by step solution

Step 1. Given Data

Orlando is mixing nuts and cereal squares to make a party mix. Nuts sell for $7 a pound and cereal squares sell for $4 a pound. Orlando wants to make 30 pounds of party mix at a cost of $6.50 a pound.

Step 2. To Find

How many pounds of nuts and how many pounds of cereal squares should he use?

Step 3. Explanation

Let the used nut is = x pound

then, the used cereal squares = (30-x) pound

Type	$N u m b e r 脳 V a l u e ($) = T o t a l V a l u e ($)$
Nut	x	7	7x
Cereal squares	30-x	4	4(30-x)
Party mix	30	6.50	$6.50 脳 30$

Step 4. Calculation

After analyzing the table, we can say that -

$7 x + 4 (30 - x) = 30 脳 6.50$

$7 x + 120 - 4 x = 195$

$7 x - 4 x = 195 - 120$

$3 x = 75$

$x = 25$

The used nut is = 25 pound

The used cereal squares is = $(30 - x)$

= $(30 - 25)$

= 5 pound

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Orlando is mixing nuts and cereal squares to make a party mix. Nuts sell for \(7 a pound and cereal squares sell for \)4 a pound. Orlando wants to make 30 pounds of party mix at a cost of $6.50 a pound. how many pounds of nuts and how many pounds of cereal squares should he use?

Short Answer

Step by step solution

Step 1. Given Data

Step 2. To Find

Step 3. Explanation

Step 4. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Decision Maths

Calculus

Statistics

Theoretical and Mathematical Physics

Applied Mathematics

Study anywhere. Anytime. Across all devices.