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High School Math Algebra Algebra 2

The cost of Hot Dogs, Popcorn, Soda purchased by Dustin, Luis and Marci.

The cost of Hot Dogs, Popcorn, Soda purchased by Dustin, Luis and Marci.

Algebra 2

1st Edition

ISBN: 9780078884825

Author: McGraw-Hill/Glencoe

Publisher: Glencoe/McGraw-Hill School Pub Co

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Question

Chapter 3, Problem 30SGR

To determine

To calculate: The cost of Hot Dogs, Popcorn, Soda purchased by Dustin, Luis and Marci.

Expert Solution & Answer

Answer to Problem 30SGR

The cost of Hot Dogs, Popcorn, Soda are $3.25,$2.25 and $2.50 respectively.

Explanation of Solution

Given information:

The number of snacks and price paid by Dustin, Luis and Marci is provided below,

NameHot DogsPopcornSodaPriceDustin123$15.25Luis203$14.00Marci121$10.25

Calculation:

It is provided that the number of snacks and price paid by Dustin, Luis and Marci is provided below,

NameHot DogsPopcornSodaPriceDustin123$15.25Luis203$14.00Marci121$10.25

Let price of hot dogs be x , popcorn be y and soda be z .

Consider the system of equations

x+2y+3z=15.252x+3z=14x+2y+z=10.25

Take the first and the third equation,

x+2y+3z=15.25x+2y+z=10.25

Use the method of elimination to solve the system above.

Subtract both the equations,

x+2y+3z=15.25x+2y+z=10.25−+2z=5

Therefore,

2z=5z=2.5

Now substitute z=2.5 in the equation 2x+3z=14 ,

2x+3(2.5)=14x=3.25

Now substitute z=2.5 and x=3.25 in the equation x+2y+3z=15.25 ,

3.25+2y+3(2.5)=15.25b=2.25

Therefore, solution is the coordinate pair, (3.25,2.25,2.50).

Thus, the cost of Hot Dogs, Popcorn, Soda are $3.25,$2.25 and $2.50 respectively.

Chapter 3, Problem 29SGR

Chapter 3, Problem 1PT

Chapter 3 Solutions

Algebra 2

Ch. 3.1 - Prob. 1ACYP Ch. 3.1 - Prob. 1BCYP Ch. 3.1 - Prob. 2ACYP Ch. 3.1 - Prob. 2BCYP Ch. 3.1 - Prob. 3CYP Ch. 3.1 - Prob. 4ACYP Ch. 3.1 - Prob. 4BCYP Ch. 3.1 - Prob. 4CCYP Ch. 3.1 - Prob. 4DCYP Ch. 3.1 - Prob. 1CYU

Ch. 3.1 - Prob. 2CYU Ch. 3.1 - Prob. 3CYU Ch. 3.1 - Prob. 4CYU Ch. 3.1 - Prob. 5CYU Ch. 3.1 - Prob. 6CYU Ch. 3.1 - Prob. 7CYU Ch. 3.1 - Prob. 8CYU Ch. 3.1 - Prob. 9CYU Ch. 3.1 - Prob. 10CYU Ch. 3.1 - Prob. 11CYU Ch. 3.1 - Prob. 12CYU Ch. 3.1 - Prob. 13PPS Ch. 3.1 - Prob. 14PPS Ch. 3.1 - Prob. 15PPS Ch. 3.1 - Prob. 16PPS Ch. 3.1 - Prob. 17PPS Ch. 3.1 - Prob. 18PPS Ch. 3.1 - Prob. 19PPS Ch. 3.1 - Prob. 20PPS Ch. 3.1 - Prob. 21PPS Ch. 3.1 - Prob. 22PPS Ch. 3.1 - Prob. 23PPS Ch. 3.1 - Prob. 24PPS Ch. 3.1 - Prob. 25PPS Ch. 3.1 - Prob. 26PPS Ch. 3.1 - Prob. 27PPS Ch. 3.1 - Prob. 28PPS Ch. 3.1 - Prob. 29PPS Ch. 3.1 - Prob. 30PPS Ch. 3.1 - Prob. 31PPS Ch. 3.1 - Prob. 32PPS Ch. 3.1 - Prob. 33PPS Ch. 3.1 - Prob. 34PPS Ch. 3.1 - Prob. 35PPS Ch. 3.1 - Prob. 36PPS Ch. 3.1 - Prob. 37PPS Ch. 3.1 - Prob. 38PPS Ch. 3.1 - Prob. 39PPS Ch. 3.1 - Prob. 40PPS Ch. 3.1 - Prob. 41PPS Ch. 3.1 - Prob. 42HP Ch. 3.1 - Prob. 43HP Ch. 3.1 - Prob. 44HP Ch. 3.1 - Prob. 45HP Ch. 3.1 - Prob. 46HP Ch. 3.1 - Prob. 47HP Ch. 3.1 - 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Prob. 26PPS Ch. 3.4 - Prob. 27PPS Ch. 3.4 - Prob. 28PPS Ch. 3.4 - Prob. 29PPS Ch. 3.4 - Prob. 30HP Ch. 3.4 - Prob. 31HP Ch. 3.4 - Prob. 32HP Ch. 3.4 - Prob. 33HP Ch. 3.4 - Prob. 34HP Ch. 3.4 - Prob. 35HP Ch. 3.4 - Prob. 36HP Ch. 3.4 - Prob. 37HP Ch. 3.4 - Prob. 38STP Ch. 3.4 - Prob. 39STP Ch. 3.4 - Prob. 40STP Ch. 3.4 - Prob. 41STP Ch. 3.4 - Prob. 42STP Ch. 3.4 - Prob. 43STP Ch. 3.4 - Prob. 44STP Ch. 3.4 - Prob. 45STP Ch. 3.4 - Prob. 46STP Ch. 3.4 - Prob. 47STP Ch. 3.4 - Prob. 48STP Ch. 3.4 - Prob. 49STP Ch. 3.4 - Prob. 50S Ch. 3.4 - Prob. 51S Ch. 3.4 - Prob. 52S Ch. 3.4 - Prob. 53S Ch. 3.4 - Prob. 54S Ch. 3.4 - Prob. 55S Ch. 3.5 - Prob. 1ACYP Ch. 3.5 - Prob. 1BCYP Ch. 3.5 - Prob. 2ACYP Ch. 3.5 - Prob. 2BCYP Ch. 3.5 - Prob. 3CYP Ch. 3.5 - Prob. 1CYU Ch. 3.5 - Prob. 2CYU Ch. 3.5 - Prob. 3CYU Ch. 3.5 - Prob. 4CYU Ch. 3.5 - Prob. 5CYU Ch. 3.5 - Prob. 6CYU Ch. 3.5 - Prob. 7CYU Ch. 3.5 - Prob. 8PPS Ch. 3.5 - Prob. 9PPS Ch. 3.5 - Prob. 10PPS Ch. 3.5 - Prob. 11PPS Ch. 3.5 - Prob. 12PPS Ch. 3.5 - 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