LearningDiagnosticAnalyticsRecommendationsSkill plansMathLanguage artsVirginia StAlgebra 1> U.15 Solve a system of equations using any method: word problems GDQWrite a system of equations to describe the situation below, solve using any method, and fillin the blanks.Jack has punch cards for his favorite tea house and his favorite coffee shop. He currently has11 punches on the tea punch card and 9 punches on the coffee punch card. Given his regularroutine, he consistently earns 4 new punches per week on the tea punch card and 6 on thecoffee punch card. Before too long, Jack will have the same number of punches on each card.How long will that take? How many punches will Jack have on each card?Afterweeks, Jack will havepunches on each card.SubmitWork it outNot feeling ready yet? These can help:

Answered: Write a system of equations to describe…

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.5: Systems Of Equations

Problem 3E: Motherboards A manufacturer produces motherboards and chips for computers. The production line...

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Learning
Diagnostic
Analytics
Recommendations
Skill plans
Math
Language arts
Virginia St
Algebra 1
> U.15 Solve a system of equations using any method: word problems GDQ
Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks.
Jack has punch cards for his favorite tea house and his favorite coffee shop. He currently has
11 punches on the tea punch card and 9 punches on the coffee punch card. Given his regular
routine, he consistently earns 4 new punches per week on the tea punch card and 6 on the
coffee punch card. Before too long, Jack will have the same number of punches on each card.
How long will that take? How many punches will Jack have on each card?
After
weeks, Jack will have
punches on each card.
Submit
Work it out
Not feeling ready yet? These can help:

Expert Solution

Step 1

$G i v e n N u m b e r o f p u n c h e s o n T e a C a r d = 11 N u m b e r o f p u n c h e s o n C o f f e e C a r d = 9 N u m b e r o f p u n c h e s o n T e a c a r d p e r w e e k = 4 N u m b e r o f p u n c h e s o n c o f f e e c a r d p e r w e e k = 6 L e t' s a s s u m e t h a t a f t e r' t' w e e k s J a c k w i l l s a m e n u m b e r o f p u n c h e s o n b o t h c a r d s N u m b e r o f p u n c h e s o n t e a c a r d a f t e r' t' w e e k s = 11 + 4 * t = 11 + 4 t N u m b e r o f p u n c h e s o n c o f f e e c a r d a f t e r' t' w e e k s = 9 + 6 * t = 9 + 6 t$

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