Amount of potatoes that Zoe has = 5 pounds
Quantity of potatoes that Zoe need for each recipe = 5/(3/4)
= 5 * (4/3)
= 20/3
= 6 2/3
From the above deduction, we can conclude that only 6 recipes can be made. The remaining amount of 2/3 will remain unused. I hope the procedure is clear enough for you to understand.
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.
Hi there! Here is the soloution to your question:
12g+8k= 8012 Grams
I Hope that helps!
The correct answer is A. Think of this as a graph in the y=Mx+b form. When graphing these equations, you should be able to see that the lines for A and B match up with the picture. However, since everything below the line is shaded, this must mean that the graph includes everything under the line. Y must be less than everything that is input. The correct answer is A.
-R