High School

Bananas are packed in a box that weighs: 630 g.
Each banana weighs: 169 g.
When it is full, the box and bananas weigh: 5.7 kg.
How many bananas are in the box?

Answer :

To find out how many bananas are in the box, we need to consider the total weight of the box with and without bananas and use the weight of a single banana.

  1. Convert the total weight to grams:

    The total weight of the box and bananas is given as 5.7 kg. To work in the same units, convert kilograms to grams since 1 kg = 1000 grams:

    [tex]5.7 \text{ kg} = 5700 \text{ grams}[/tex]

  2. Calculate the weight of just the bananas:

    The empty box weighs 630 grams. So, subtract the weight of the box from the total weight:

    [tex]5700 \text{ grams (total)} - 630 \text{ grams (box)} = 5070 \text{ grams (bananas)}[/tex]

  3. Determine the number of bananas:

    Each banana weighs 169 grams. To find out how many bananas you have, divide the total weight of the bananas by the weight of a single banana:

    [tex]\frac{5070 \text{ grams}}{169 \text{ grams/banana}} \approx 30[/tex]

    Rounding to the nearest whole number, since you can't have a fraction of a banana, you find that there are approximately 30 bananas in the box.

Thus, the box contains 30 bananas.