Find 8% of 1900.
0.08 * 1900 = 152
So 152 customers run every day.
Let x be the number of weeks; therefore, the two linear equations are

Where T stands for the punches on the tea punch card and C for the punches on the coffee punch card.
Solving by substitution. Set T=C, then

Thus, substitute the value of x=3 into the first equation,

Thus, after 3 weeks, Josiah will have the same number of punches on each card, and he will have 23 punches on each card.
Answer: The value necessary from the set to make the equation true was 11.
Step-by-step explanation:
Process of elimination:
1. 2([10]-5)
= 2(5)
= 10, not 12.
2. 2([11]-5)
= 2(6)
= 12; the answer we need.
We substituted x for 11, and then the equation worked; so therefore the value we needed from the set was 11.