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Need some help with the question in the image ​

Need some help with the question in the image ​-example-1

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Answer:

oranges $3.50 per Kg, bananas $3 per Kg

Explanation:

let b represent cost of bananas and o represent cost of oranges , then

2b + 3o = 16.5 → (1)

o = b + 0.5 → (2)

substitute o = b + 0.5 into (1)

2b + 3(b + 0.5) = 16.5 ← distribute parenthesis on left side and simplify

2b + 3b + 1.5 = 16.5

5b + 1.5 = 16.5 ( subtract 1.5 from both sides )

5b = 15 ( divide both sides by 5 )

b = 3

substitute b = 3 into (2)

o = 3 + 0.5 = 3.5

cost of oranges = $3.50 and cost of bananas = $3

User Mittal Bhatt
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