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Answer :
Final answer:
Brian bought 7 pounds of apples and 3 pounds of bananas.
Explanation:
To find out how many pounds of each fruit Brian bought, we can set up a system of equations. Let's define:
x = pounds of apples
y = pounds of bananas
Based on the given information, we have the following equations:
x + y = 10 (equation 1)
0.95x + 1.10y = 9.95 (equation 2)
To solve this system, we can use substitution or elimination. Let's use substitution method:
From equation 1, we can express x in terms of y: x = 10 - y
Substitute this expression for x in equation 2:
0.95(10 - y) + 1.10y = 9.95
9.5 - 0.95y + 1.1y = 9.95
0.15y = 0.45
y = 3
Now substitute the value of y back into equation 1 to find x:
x + 3 = 10
x = 7
Therefore, Brian bought 7 pounds of apples and 3 pounds of bananas.
Learn more about system of equations here:
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