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
Therefore, the cost of six pounds of pears and four pounds of grapes is $12.74.