ALGEBRA 1 W/CALCCHAT+CALCVIEW:STUD.ED.
1st Edition
ISBN: 9781644328644
Author: Larson
Publisher: CENGAGE L
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Textbook Question
Chapter 6.4, Problem 8P
Solve each word problem
At an all-you-can-eat barbeque fundraiser that you are sponsoring, adults pay $6 for a dinner and children pay $4$ for a dinner. 212 people attend and you raise $1128. What is the total number of adults and the total number of children attending?
a. What is a system of equations that you can use to solve this problem?
b. What method would you use to solve the system? Why?
Expert Solution & Answer
To determine
To determine the total number of adults and the total number of children attending the dinner. Write the system of equation and name of the method used to solve them.
Answer to Problem 8P
Number of adults: 140, Number of children: 72,
System of equation: x+y=2126x+4y=1128
Method used to solve the system of equations: Elimination method
Explanation of Solution
Given: A barbeque fundraiser is sponsored where adults pay &6 for a dinner and children pay $4 for a dinner. 212 people attend it and the money raised was $1128.
Calculation:
Let the number of adults attending the dinner is x and number of children is y . So money collected from all adults is 6x and that from children is 4y . Total money collected is 6x+4y.
Now the system of equations,
x+y=212
6x+4y=1128
Multiply equation 1.1 by 4 and subtract from equation 1.2,
(6x+4y)−(4x+4y)=1128−848⇒6x−4x=280⇒2x=280⇒x=2802⇒x=140⇒y=212−140=72
Hence, the number of adults is 140 and that of children is 72.Method used to solve the system of equation is elimination method.
Chapter 6 Solutions
ALGEBRA 1 W/CALCCHAT+CALCVIEW:STUD.ED.
Ch. 6.1 - Solve each system by graphing. Check your...Ch. 6.1 - Solve each system by graphing. Check your...Ch. 6.1 - Solve each system by graphing. Check your...Ch. 6.1 - Solve each system by graphing. Check your...Ch. 6.1 - Solve each system by graphing. Check your...Ch. 6.1 - Solve each system by graphing. Check your...Ch. 6.1 - Solve each system by graphing. Check your...Ch. 6.1 - Solve each system by graphing. Check your...Ch. 6.1 - Solve each system by graphing. Check your...Ch. 6.1 - Reasoning Can there be more than one point of...
Ch. 6.1 - Reasoning If the graphs of the equations in a...Ch. 6.1 - Writing Explain the method used to graph a line...Ch. 6.1 - Reasoning If the ordered pair (3,2) satisfies one...Ch. 6.1 - Writing If the graphs of two lines in a system do...Ch. 6.1 - Reasoning Without graphing, decide whether the...Ch. 6.1 - Five years from now, a fathers age will be three...Ch. 6.1 - The denominator of a fraction is greater than its...Ch. 6.1 - The sum of the distances two hikers walked is 53...Ch. 6.1 - The result of dividing a two-digit number by the...Ch. 6.1 - Solve each system by graphing. Tell whether the...Ch. 6.1 - Solve each system by graphing. Tell whether the...Ch. 6.1 - Solve each system by graphing. Tell whether the...Ch. 6.1 - Solve each system by graphing. Tell whether the...Ch. 6.1 - Solve each system by graphing. Tell whether the...Ch. 6.1 - Solve each system by graphing. Tell whether the...Ch. 6.1 - Solve each system by graphing. 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