Question

A customer at a grocery store purchases bananas and plums. Bananas cost $0.40 each, and plums cost $0.55 each. The total cost of the bananas and plums is $10.80. The customer buys 24 total bananas and plums combined. Which system of equations can be used to determine the number of bananas, x, and plums, y, that the customer purchases?

a. 0.40x + 0.55y = 10.80, x + y = 24
b. 0.55x + 0.40y = 10.80, x - y = 24
c. 0.40x + 0.55y = 24, x + y = 10.80
d. 0.55x + 0.40y = 24, x - y = 10.80

Answer 1

The correct system of equations to determine the number of bananas, x, and plums, y, purchased is A)'0.40x + 0.55y = 10.80' and 'x + y = 24'.

Step-by-step explanation:

The customer at a grocery store buys bananas and plums, and we are asked to determine which system of equations can be used to find out how many bananas, x, and plums, y, were purchased.

Let x represent the number of bananas and y represent the number of plums purchased. We have two pieces of information that can be translated into equations:

The first piece of information gives us the equation:

0.40x + 0.55y = 10.80

This equation shows the total cost of the bananas priced at $0.40 each and the plums priced at $0.55 each equals $10.80. The second piece of information translates into the equation:

x + y = 24

This equation represents the total number of fruits bought.

Therefore, we can conclude that the correct system of equations is:

a. 0.40x + 0.55y = 10.80, x + y = 24