
Maths, Science, English And Projects
June 10, 2025 at 09:39 AM
Let's solve the problem:
Step 1: Define Variables
Let A be the cost per kg of apples and B be the cost per kg of bananas.
Step 2: Write Equations
From the problem, we have two equations:
1. 3A + 7B = 16
2. 4A + 5B = 17
Step 3: Solve Equations
We can solve these equations using substitution or elimination. Let's use elimination.
Step 4: Multiply Equations
Multiply equation 1 by 4 and equation 2 by 3:
1. 12A + 28B = 64
2. 12A + 15B = 51
Step 5: Subtract Equations
Subtract equation 2 from equation 1:
13B = 13
B = 1
Step 6: Find A
Substitute B = 1 into one of the original equations:
3A + 7(1) = 16
3A + 7 = 16
3A = 9
A = 3
Solution
Apples: $3.00/kg
Bananas: $1.00/kg
The correct answer is:
A) Apples: $3.00/kg | Bananas: $1.00/kg
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