The price of 2 kg of grapes is $9.80.If Jane paid $24.50 for the grapes, how much grapes did Jane buy?

1. Break Down the Problem

To find out how much grapes Jane bought, we need to determine the cost per kilogram and then see how many kilograms correspond to the amount she paid.

2. Relevant Concepts

• The price for 2 kg of grapes is given as $9.80.
• We can calculate the price per kilogram by dividing the total price by the weight in kilograms.

3. Analysis and Detail

1. Calculate the price per kilogram: $\text{Price per kg} = \frac{\text{Total Price}}{\text{Weight}} = \frac{9.80}{2}$ $= 4.90 \text{ dollars per kg}$

2. Calculate how many kilograms Jane bought: $\text{Weight bought} = \frac{\text{Amount paid}}{\text{Price per kg}} = \frac{24.50}{4.90}$ $= 5 \text{ kg}$

4. Verify and Summarize

Verifying:

• Price per kg calculated as $4.90 is correct based on the initial price of$9.80 for 2 kg.
• Calculating the weight Jane bought using her total payment of $24.50 at$4.90 per kg gives us 5 kg.

Final Answer

Jane bought 5 kg of grapes.