High School

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(b) The weight of one ball is [tex]$156 \frac{1}{4} \text{ g}$[/tex]. Find the number of balls in a box with a weight of 10 kg.

Answer :

To solve the problem of finding out how many balls are in the box, follow these steps:

1. Convert the Box Weight to Grams:
The weight of the box is given as 10 kilograms. Since 1 kilogram is equal to 1000 grams, you need to convert the box's weight to grams:

[tex]\[
10 \text{ kg} = 10 \times 1000 = 10000 \text{ grams}
\][/tex]

2. Determine the Weight of One Ball:
The weight of one ball is given as [tex]\(156 \frac{1}{4}\)[/tex] grams. First, convert the mixed number into an improper fraction or decimal:

[tex]\[
156 \frac{1}{4} = 156 + \frac{1}{4} = 156.25 \text{ grams}
\][/tex]

3. Calculate the Number of Balls:
Now, divide the total weight of the box by the weight of one ball to find out how many balls fit into the box:

[tex]\[
\text{Number of balls} = \frac{10000 \text{ grams}}{156.25 \text{ grams per ball}} = 64
\][/tex]

So, there are 64 balls in the box.

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