Sara pays $4.50 for 3 pounds of bananas and 2 pounds of oranges. One pound of oranges costs $0.75 more than one pound of bananas. Let b represent the price per pound of bananas. What equation represents the situation, and what is the price per pound of each fruit?

The price of one pound of banana = b

As one pound of oranges costs $0.75 more than one pound of bananas, so, the price of one pound of orange = b+0.75.

The price of 3 pounds of banana = 3b,

and the price of 2 pounds of oranges = 2(b+0.75).

Now, as she pays $4.50 for 3 pounds of bananas and 2 pounds of oranges.

So, for this situation the required equation is

3b + 2(b+0.75) =4.5

On solving this equation, we have

Hence, the price of one pound of banana = $ 0.60

and the price of one pound of orange

=b+0.75= 0.60+0.75=$1.35.

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step-by-step explanation:

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