Answer :
Leah bought 5 pounds of apples and 3 pounds of bananas.
Given data:
To find out how many pounds of apples (a) and bananas (b) Leah bought, you can use a system of equations. We already have one equation:
a + b = 8
Now, let's create a second equation based on the total cost:
0.95a + 1.10b = 8.05
Now, you can solve this system of equations simultaneously. One way to do it is by using the method of substitution. Let's solve for a in the first equation:
a = 8 - b
Now, substitute this expression for a into the second equation:
0.95(8 - b) + 1.10b = 8.05
Now, solve for b:
7.6 - 0.95b + 1.10b = 8.05
Combine the like terms:
0.15b = 8.05 - 7.6
0.15b = 0.45
Now, divide by 0.15 to solve for b:
b = 0.45 / 0.15
b = 3
So, Leah bought 3 pounds of bananas (b = 3).
Now that we know the value of b, we can find the value of a using the first equation:
a + 3 = 8
Subtract 3 from both sides:
a = 8 - 3
a = 5
Hence, Leah bought 5 pounds of apples (a = 5).
To learn more about equations, refer:
https://brainly.com/question/19297665
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