10. You have 48 minutes to exercise at the gym. The elliptical trainer burns 9 calories per minute, while the treadmill burns 8 calories per minute. You want to burn 400 calories total using both machines. Let x= the number of minutes you spend on the elliptical Y= the number of minutes you spend on the treadmill a) Write a system of equations to represent this situation. Equation 1) Equation 2) b) Solve the system of equations. c) Interpret your solution in context of the problem.

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter5: Systems Of Linear Equations
Section5.2: Solve Systems Of Equations By Substitution
Problem 122E: When Gloria spent 15 minutes on the elliptical trainer and then did circuit training for 30 minutes,...
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10. You have 48 minutes to exercise at the gym. The elliptical trainer burns 9 calories per minute, while
the treadmill burns 8 calories per minute. You want to burn 400 calories total using both machines.
Let x= the number of minutes you spend on the elliptical
Y= the number of minutes you spend on the treadmill
a) Write a system of equations to represent this situation.
Equation 1)
Equation 2)
b) Solve the system of equations.
c) Interpret your solution in context of the problem.
Transcribed Image Text:10. You have 48 minutes to exercise at the gym. The elliptical trainer burns 9 calories per minute, while the treadmill burns 8 calories per minute. You want to burn 400 calories total using both machines. Let x= the number of minutes you spend on the elliptical Y= the number of minutes you spend on the treadmill a) Write a system of equations to represent this situation. Equation 1) Equation 2) b) Solve the system of equations. c) Interpret your solution in context of the problem.
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