15. A manufacturer makes both volleyballs and baske requires 2 minutes on the forming machine, and each basketball requires 1 minute. Each volleyball requires 1 minute on the inflating machine, and each basketball requires 1.5 minutes. If the forming machine runs for 40 minutes and the inflating machine runs for 25 minutes, the following system of equations can be used to determine the number of volleyballs and basketballs produced. 2x + y = 40 x +1.5y 25 %3D

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.5: Systems Involving Nonlinear Equations
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15. A manufacturer makes both volleyballs and basketballs. Each volleyball
requires 2 minutes on the forming machine, and each basketball requires 1
minute. Each volleyball requires 1 minute on the inflating machine, and each
basketball requires 1.5 minutes. If the forming machine runs for 40 minutes and
the inflating machine runs for 25 minutes, the following system of equations can
be used to determine the number of volleyballs and basketballs produced.
2x +
y = 40
x +1.5y
25
a. Explain how the system of equations can be used to plan the machine
running time
b. Solve the system by elimination OR substitution. Explain your process in your
own words.
Transcribed Image Text:15. A manufacturer makes both volleyballs and basketballs. Each volleyball requires 2 minutes on the forming machine, and each basketball requires 1 minute. Each volleyball requires 1 minute on the inflating machine, and each basketball requires 1.5 minutes. If the forming machine runs for 40 minutes and the inflating machine runs for 25 minutes, the following system of equations can be used to determine the number of volleyballs and basketballs produced. 2x + y = 40 x +1.5y 25 a. Explain how the system of equations can be used to plan the machine running time b. Solve the system by elimination OR substitution. Explain your process in your own words.
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