Answer :
Sure! Let's solve this problem step-by-step.
1. Understanding the Weights:
- The weight of one ball is given as [tex]\(156 \frac{1}{4}\)[/tex] grams.
- A mixed fraction like [tex]\(156 \frac{1}{4}\)[/tex] can be converted to a decimal for ease of calculation. So, [tex]\(156 \frac{1}{4}\)[/tex] is equivalent to 156.25 grams.
2. Converting the Box Weight:
- The weight of the box is 10 kilograms.
- To compare weights consistently, let's convert the box's weight into grams since the weight of the balls is given in grams.
- 1 kilogram is equal to 1000 grams. Therefore, the 10 kg box weighs 10,000 grams.
3. Calculating the Number of Balls:
- To find how many balls fit into the box, divide the total weight of the box by the weight of one ball.
- Therefore, the calculation is [tex]\( \frac{10,000 \text{ grams}}{156.25 \text{ grams/ball}} \)[/tex].
After you divide 10,000 grams by 156.25 grams/ball, you get 64 balls.
So, the number of balls in the box with a total weight of 10 kilograms is 64.
1. Understanding the Weights:
- The weight of one ball is given as [tex]\(156 \frac{1}{4}\)[/tex] grams.
- A mixed fraction like [tex]\(156 \frac{1}{4}\)[/tex] can be converted to a decimal for ease of calculation. So, [tex]\(156 \frac{1}{4}\)[/tex] is equivalent to 156.25 grams.
2. Converting the Box Weight:
- The weight of the box is 10 kilograms.
- To compare weights consistently, let's convert the box's weight into grams since the weight of the balls is given in grams.
- 1 kilogram is equal to 1000 grams. Therefore, the 10 kg box weighs 10,000 grams.
3. Calculating the Number of Balls:
- To find how many balls fit into the box, divide the total weight of the box by the weight of one ball.
- Therefore, the calculation is [tex]\( \frac{10,000 \text{ grams}}{156.25 \text{ grams/ball}} \)[/tex].
After you divide 10,000 grams by 156.25 grams/ball, you get 64 balls.
So, the number of balls in the box with a total weight of 10 kilograms is 64.
