Cost of Pears and Grapes Calculation

What is the cost of six pounds of pears and four pounds of grapes?

Given data: Three pounds of pears and a pound of grapes cost $4.36. Five pounds of pears and two pounds of grapes cost $7.93.

Find the cost of six pounds of pears and four pounds of grapes.

Answer:

The cost of six pounds of pears and four pounds of grapes is $12.74.

To find the cost of six pounds of pears and four pounds of grapes, we need to solve a system of equations based on the given information. Let's denote the cost of a pound of pears as "P" and the cost of a pound of grapes as "G."

From the data provided, we can set up two equations:

3P + G = 4.36 (Three pounds of pears and a pound of grapes cost $4.36)

5P + 2G = 7.93 (Five pounds of pears and two pounds of grapes cost $7.93)

By solving this system of equations, we find that the cost of a pound of pears is $0.79 and the cost of a pound of grapes is $1.99.

Therefore, the cost of six pounds of pears and four pounds of grapes can be calculated as follows:

Cost = (6 * P) + (4 * G)

= (6 * $0.79) + (4 * $1.99)

= $4.74 + $7.96

= $12.74