Question

rudy has punch cards for his favorite tea house abs his favorite coffee shop. he currently has 1 punch on the tea punch card and 2 punches on the coffee punch card. given his regular routine he consistently earns 7 new punch cards per week on the tea punch card and 6 on the coffee punch card. before too long rudy will have the same number of punches on each card. how long will it take? how many punches will rudy have on each card?

Answer 1

The time it would take for Rudy to have the same number of each punch card is 1 week.

The number of punches on each card Rudy would have is 8 punches.

How long will it take to have the same number of punches on each card?

The equation that represents the number of punches on the tea punch card is: 1 + 7t

The equation that represents the number of punches on the coffee punch card is: 2 + 6t

Where t represents the number of weeks

When both cards would have the same amount of punches, the two above equations would be equal:

1 + 7t = 2 + 6t

To find the value of t, take the following steps:

Combine similar terms

7t - 6t = 2  - 1

t = 1 week

What will be the number of punches on each card?

Number of punches on each card = 1 + 7(1) = 8 punches

To learn more about when the two different variables would have the same amount, please check: https://brainly.com/question/25711114