Question

Apples cost $0.95 per pound and bananas cost $1.10 per pound. Leah bought a total of 8 pounds of apples and bananas for $8.05. How many pounds of each did she buy?

Answer 1

Leah bought 5 pounds of apples and 3 pounds of bananas. The cost is $8.05, with apples at $0.95 and bananas at $1.10 per pound.

Let's denote the number of pounds of apples as A and the number of pounds of bananas as B. According to the given information, apples cost $0.95 per pound and bananas cost $1.10 per pound. Leah bought a total of 8 pounds, so we have the equation:

`\[A + B = 8\]`

The total cost is $8.05. The cost of apples is $0.95 per pound, so the cost of apples is
`\(0.95A\),` and the cost of bananas is $1.10 per pound, so the cost of bananas is
`\(1.10B\)`. Therefore, we can write the second equation:

`\[0.95A + 1.10B = 8.05\]`

Now, we have a system of two equations:

`\[A + B = 8\]`

`\[0.95A + 1.10B = 8.05\]`