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Ahmed divides 36 pieces of chalk into 3 lots in the proportion of 3:4:5.

1. How many pieces of chalk are there in each lot?

2. Express the smallest lot as a fraction of the largest lot.

Answer :

Final answer:

To divide 36 pieces of chalk into 3 lots in the proportion of 3:4:5, each lot has 9, 12, and 15 pieces respectively. The smallest lot is 3/5 of the largest lot.


Explanation:

To divide 36 pieces of chalk into 3 lots in the proportion of 3:4:5, we need to find the number of pieces in each lot. To do this, we first add up the parts of the proportion (3 + 4 + 5 = 12). Then, divide the total number of pieces (36) by the parts of the proportion (36 / 12 = 3). So, each part of the proportion represents 3 pieces of chalk. Therefore, the first lot has 3 x 3 = 9 pieces, the second lot has 4 x 3 = 12 pieces, and the third lot has 5 x 3 = 15 pieces.

To find the smallest lot as a fraction of the largest lot, we compare the number of pieces in each lot. The smallest lot has 9 pieces, while the largest lot has 15 pieces. So, the fraction is 9/15. Simplifying this fraction, we get 3/5.


Learn more about Proportions here:

https://brainly.com/question/34018947


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