High School

You are going grocery shopping. If bananas cost $0.65 per pound and you spend $2.21, how many pounds of bananas did you buy?

Write a relation modeling the amount spent, \( A \), on the weight of bananas, \( b \), and then solve.

Answer :

You bought approximately 3.4 pounds of bananas if you spent $2.21. This calculation assumes that the cost of bananas remains constant at $0.65 per pound.

Let's represent the amount spent on bananas as A and the weight of bananas as b. We are given that bananas cost $0.65 per pound, and the total amount spent is $2.21. To find the relation between A and b, we can use the formula:

A = 0.65 * b

Now, we need to solve for b, which represents the pounds of bananas bought:

b = A / 0.65

Substitute the given amount spent into the equation:

b = 2.21 / 0.65

b ≈ 3.4 pounds

You bought approximately 3.4 pounds of bananas if you spent $2.21. This calculation assumes that the cost of bananas remains constant at $0.65 per pound.

To find the amount of bananas purchased, we established a relation between the amount spent (A) and the weight of bananas (b). Since bananas cost $0.65 per pound, the cost of bananas can be represented as 0.65 times the weight in pounds (A = 0.65 * b).

Next, to find the weight of bananas bought, we rearranged the equation to solve for b (b = A / 0.65). By plugging in the given amount spent ($2.21) into the equation, we can calculate the weight of bananas bought.

Thus, you bought approximately 3.4 pounds of bananas for $2.21. Keep in mind that this calculation assumes a constant price of $0.65 per pound for bananas.

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