5 donuts and three hot chocolates cost $11. Two donuts and two hot chocolates cost $6. The system of equations (5x + 3y = 11 { 2x + 2y = 6 models this situation, where x is the cost of each donut and y is the cost of the hot chocolate. How much does each item cost? x = y ɛ

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section5.1: Systems Of Linear Equations In Two Variables
Problem 4E
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1. 5 donuts and three hot chocolates cost $11. Two donuts and two hot
chocolates cost $6. The system of equations (5x + 3y = 11
(2x + 2y = 6
models
this situation, where x is the cost of each donut and y is the cost of
the hot chocolate. How much does each item cost?
x =
y ɛ
Transcribed Image Text:1. 5 donuts and three hot chocolates cost $11. Two donuts and two hot chocolates cost $6. The system of equations (5x + 3y = 11 (2x + 2y = 6 models this situation, where x is the cost of each donut and y is the cost of the hot chocolate. How much does each item cost? x = y ɛ
Expert Solution
Step 1

Let the number of donuts be and,

number of chocolates be y.

Then ,

5x+3y=11

2x+2y=6

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