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Sholpan [36]
3 years ago
6

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?
Mathematics
1 answer:
Svetlanka [38]3 years ago
8 0

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

\Rightarrow 3b+2b+2\times0.75=4.5

\Rightarrow 5b +1.5=4.5

\Rightarrow 5b =4.5-1.5=3

\Rightarrow b =\frac 3 5=0.6

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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