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:
1/4
Step-by-step explanation:
1/6 + 1/12
Multiply the numerator and denominator of the first fraction by 2.
2/12 + 1/12
Add both fractions, because they have a common denominator.
3/12
The fraction can be further simplified.
1/4
Answer:
One
Step-by-step explanation:
Add a "t" to "one" and you get "tone", a musical sound.
First subtract y from both sides to isolate the variable.
25 = 2y-2
Next, add 2 to both sides.
27 = 2y
Last, divide by 2.
13.5 = y
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