/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 2.84 Becca wants to mix fruit juice a... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q. 2.84 (page 155)

Becca wants to mix fruit juice and soda to make a punch. She can buy fruit juice for \(3 a gallon and soda for \)4 a gallon. If she wants to make 28 gallons of punch at a cost of $3.25 a gallon, how many gallons of fruit juice and how many gallon of soda should she buy?

Short Answer

Expert verified

The number of gallons of Soda = 7

The number of gallons of fruit juice = 21

Step by step solution

01

Step 1.  Given Data

Becca can buy fruit juice for $3 a gallon and soda for $4 a gallon. If she wants to make 28 gallons of punch at a cost of $3.25 a gallon.

02

Step 2.  To Find

how many gallons of fruit juice and how many gallon of soda should she buy?

03

Step 3.  Explanation

Let the number of gallons of soda = x

Then the number of gallons of fruit juice = 28-x

Type
Number脳Value($)=TotalValue($)
Fruit juice28-x33(28-x)
Sodax44x
Punch283.2528(3.25)
04

Step 4.  Calculation

After analyzing the table, we can say that -

3(28-x)+4x=28(3.25)

84-3x+4x=91

x=91-84

x=7

The number of gallons of Soda = 7

The number of gallons of fruit juice = (28-x)

= (28-7)

= 21

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

Most popular questions from this chapter

Solve14x+12=58

Pam wants to put a banner across her garage door diagonally, as shown, to congratulate her son for his college graduation. The garage door is 12 feet high and 16 feet wide. How long should the banner be to fit the garage door?

Solve the below equation with fraction coefficients.

14x-12=-34

The first day of a water polo tournament the total value of tickets sold was \(17,610. One-day passes sold for \)20and tournament passes sold for $30. The number of tournament passes sold was 37 more than the number of day passes sold. How many day passes and how many tournament passes were sold?

Classify the below equation as a conditional equation, an identity, or a contradiction, and then state the solution.

23z+19=35z-9+8z+46
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.