Isaac is buying ingredients to bake 4 batches of chocolate chip walnut cookies, and each batch requires 1 bag each of chocolate chips and walnuts. His receipt shows a total of $17.92. He remembers that the chocolate chips were $2.59 per bag, but he can't remember how much each bag of walnuts costs.

Question

How can Isaac determine the cost per bag of walnuts?
Match each step of the arithmetic solution with the correct description
in two steps

Answer 1

To determine the cost per bag of walnuts, Isaac can follow these steps:

Steps to Solve

1. Calculate the total cost of chocolate chips:

   • Since each batch requires 1 bag of chocolate chips and he is making 4 batches, he will need 4 bags of chocolate chips.
   • The cost for chocolate chips is: \[ \text{Cost of chocolate chips} = \text{Number of bags} \times \text{Price per bag} = 4 \times 2.59 \]
   • Doing the multiplication: \[ 4 \times 2.59 = 10.36 \]

2. Determine the cost per bag of walnuts:

   • He knows the total receipt amount is $17.92, and subtracting the cost of the chocolate chips will provide the total cost for the walnuts.
   • So, we can calculate the total cost for walnuts: \[ \text{Total cost for walnuts} = \text{Total receipt} - \text{Cost of chocolate chips} = 17.92 - 10.36 \]
   • Performing the subtraction: \[ 17.92 - 10.36 = 7.56 \]
   • Since he also bought 4 bags of walnuts, the cost per bag of walnuts is: \[ \text{Cost per bag of walnuts} = \frac{7.56}{4} = 1.89 \]

Matching Steps with Descriptions

• Step 1 - Calculate the total cost of chocolate chips.

  • This step determines how much Isaac spent on chocolate chips based on the number of bags he bought and the price per bag.

• Step 2 - Determine the cost per bag of walnuts.

  • This step involves subtracting the cost of chocolate chips from the total receipt and then dividing by the number of walnut bags to find the cost per bag of walnuts.

Thus, the cost per bag of walnuts is $1.89.