Question

1. chicken costs $3.20 per pound, and beef costs $4.59 per pound. answer each question and show your reasoning.

a. what is the exact cost of 3 pounds of chicken?
b. what is the exact cost of 3 pounds of beef?
c. how much more does 3 pounds of beef cost than 3 pounds of chicken?

Explanation:

Part a

Step1: Identify the cost per pound of chicken

The cost of chicken per pound is $3.20.

Step2: Calculate the cost of 3 pounds of chicken

To find the cost of 3 pounds, we multiply the cost per pound by the number of pounds. So, we use the formula: \(\text{Total Cost} = \text{Cost per pound} \times \text{Number of pounds}\)
Substituting the values, we get: \(3.20\times3\)
\(3.20\times3 = 9.60\)

Step1: Identify the cost per pound of beef

The cost of beef per pound is $4.59.

Step2: Calculate the cost of 3 pounds of beef

Using the formula \(\text{Total Cost} = \text{Cost per pound} \times \text{Number of pounds}\)
Substituting the values, we get: \(4.59\times3\)
\(4.59\times3=13.77\)

Step1: Find the cost difference per pound

First, find the difference in cost per pound between beef and chicken. The cost of beef per pound is $4.59 and chicken is $3.20. So, the difference per pound is \(4.59 - 3.20=1.39\)

Step2: Calculate the difference for 3 pounds

To find the difference for 3 pounds, we multiply the per - pound difference by 3. So, \(1.39\times3\)
\(1.39\times3 = 4.17\)
(Alternatively, we can subtract the total cost of 3 pounds of chicken from the total cost of 3 pounds of beef: \(13.77 - 9.60 = 4.17\))

Answer:

The exact cost of 3 pounds of chicken is \$9.60.

Part b