A movie theater is selling only one size of popcorn and one size of soft drink. • Jason purchased 2 popcorns and 3 soft drinks for a total of $23. • Ann purchased 3 popcorns and 4 soft drinks for a total of $32.50. If we let p = the price of a popcorn and d = the price of a soft drink, which %3D systems of equations would represent the statements above? 2p + 3d = 23 3p + 4d = 32 5

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 101E
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What should we multiply the 2nd equation by in order to eliminate the y
using the first two equations? (i.e. what multiplier should be written where
the hand is shown below so that the ys will be eliminated?)
2x+5 y+3z =10
1. 2x+5y+3z =10
2.
3x- y+4z =8
r-y+4z=8
3x-y+4z = 8
-1- 5x -2y+7z =12
5x - 2y+7z=12
%3D
6X-
5x +2 - 7z =
N= 4
O-2
O1
|耳
47°F Clear
Transcribed Image Text:What should we multiply the 2nd equation by in order to eliminate the y using the first two equations? (i.e. what multiplier should be written where the hand is shown below so that the ys will be eliminated?) 2x+5 y+3z =10 1. 2x+5y+3z =10 2. 3x- y+4z =8 r-y+4z=8 3x-y+4z = 8 -1- 5x -2y+7z =12 5x - 2y+7z=12 %3D 6X- 5x +2 - 7z = N= 4 O-2 O1 |耳 47°F Clear
A movie theater is selling only one size of popcorn and one size of soft drink.
• Jason purchased 2 popcorns and 3 soft drinks for a total of $23.
• Ann purchased 3 popcorns and 4 soft drinks for a total of $32.50.
If we let p = the price of a popcorn and d = the price of a soft drink, which
%3D
systems of equations would represent the statements above?
2p + 3d = 23
3p + 4d = 32.5
3p + 2d = 23
4p + 3d = 32.5
2p + 4d = 23
3p + 3d = 32.5
3p + 4d = 23
2p + 3d = 32.5
47°F Clear
Transcribed Image Text:A movie theater is selling only one size of popcorn and one size of soft drink. • Jason purchased 2 popcorns and 3 soft drinks for a total of $23. • Ann purchased 3 popcorns and 4 soft drinks for a total of $32.50. If we let p = the price of a popcorn and d = the price of a soft drink, which %3D systems of equations would represent the statements above? 2p + 3d = 23 3p + 4d = 32.5 3p + 2d = 23 4p + 3d = 32.5 2p + 4d = 23 3p + 3d = 32.5 3p + 4d = 23 2p + 3d = 32.5 47°F Clear
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