Jason is making chocolate chip cookies and chocolate chip cakes, and he has 6 cups of chocolate chips. It takes one-half of a cup to make one batch of cookies and three-fourths of a cup to make one cake.

Question

Which of the following represents the number of batches of cookies and cakes that Jason can make?

W.
X.

Y.
Z.
A.
W
B.
X
C.
Z

Answer 1

To determine how many batches of cookies and cakes Jason can make with 6 cups of chocolate chips, let:

• \( c \) = number of batches of cookies
• \( k \) = number of cakes

The amount of chocolate chips needed for the cookies is \( \frac{1}{2} \) cup per batch and for the cakes is \( \frac{3}{4} \) cup per cake. Therefore, we can set up the following equation based on the total amount of chocolate chips Jason has:

\[ \frac{1}{2}c + \frac{3}{4}k \leq 6 \]

To eliminate the fractions, we can multiply the entire inequality by 4 (the least common multiple of the denominators):

\[ 4 \left(\frac{1}{2}c\right) + 4 \left(\frac{3}{4}k\right) \leq 4 \cdot 6 \] \[ 2c + 3k \leq 24 \]

This equation \( 2c + 3k \leq 24 \) represents the relationship between the batches of cookies and cakes that Jason can make with the available chocolate chips.

Without specific options for W, X, Y, and Z, I can't directly assign this relationship to any of them. Please provide the options or specific expressions if you wish for a more tailored answer.

Answer 2

Can you say the one that u think it is

Answer 3

Based on the calculations we did earlier, the relationship that encapsulates how many batches of cookies (c) and cakes (k) Jason can make with the chocolate chips is represented by the inequality:

\[ 2c + 3k \leq 24 \]

Without knowing the exact expressions represented by W, X, Y, and Z, I can't definitively say which option matches. However, if one of the provided options closely resembles the equation \( 2c + 3k \leq 24 \), it would be the correct answer.

If you can provide the actual expressions for W, X, Y, and Z, I could identify the correct option for you.