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?

1) 0.40x + 0.55y = 10.80 and x + y = 24
2) 0.40x + 0.55y = 24 and x + y = 10.80
3) 0.40x + 0.55y = 10.80 and x - y = 24
4) 0.40x + 0.55y = 24 and x - y = 10.80

Answer 1

To determine the number of bananas and plums, we can use the system of equations: 0.40x + 0.55y = 10.80 and x + y = 24.

Step-by-step explanation:

To determine the number of bananas, x, and plums, y, that the customer purchases, we can use the system of equations:

0.40x + 0.55y = 10.80

This equation represents the total cost of the bananas and plums which is $10.80.

x + y = 24

This equation represents the total number of bananas and plums combined which is 24. Therefore, the correct system of equations is: 0.40x + 0.55y = 10.80 and x + y = 24.