Chapter 3: Q. 3.64 (page 348)

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 gallons of soda should she buy?

Short Answer

Expert verified

Becca should buy $21$ gallons of fruit juice and $7$ gallons of soda.

Step by step solution

Step 1. Given information.

Consider the given question,

Total quantity of punch is $28$ gallons.

Price of one gallon of punch is $$ 3.25$ .

Price of one gallon of fruit juice is $$ 3$ .

Price of one gallon of soda is $$ 4$ .

Assume xto be the required quantity of fruit juice. Then,

localid="1647182533751" $28 - x =$ Required quantity of soda.

Make the table,

Step 2. Form the equation.

Consider the table, we can say,

$3 x + 4 (28 - x) = 28 (3.25) 3 x + 112 - 4 x = 91 x = 21$

Then,

$= 28 - 21 = 7$

Therefore, Becca should buy $21$ gallons of fruit juice and $7$ gallons of soda.

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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 gallons of soda should she buy?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Form the equation.

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Becca wants to mix fruit juice and soda to make a punch. She can buy fruit juice for \(3a gallon and soda for \)4a gallon. If she wants to make28 gallons of punch at a cost of $3.25 a gallon, how many gallons of fruit juice and how many gallons of soda should she buy?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Form the equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Logic and Functions

Probability and Statistics

Calculus

Discrete Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

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 gallons of soda should she buy?