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Answer :
Answer:
The number of green pens sold is 96.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
A shop sells packs of black pens, packs of red pens and packs of green pens. There are:
2 pens in each pack of black pens
5 pens in each pack of red pens
6 pens in each pack of green pens
On Monday, number of packs of black pens sold : number of packs of red pens sold : number of packs of green pens sold = 7:3:4
A total of 212 pens were sold.
Work out the number of green pens sold.
The explanation of the answer is now given as follows:
Since the ratio is given in packs of pens, we have to first convert it to number of pens based on the number of pens in each pack. Therefore, we have:
7:3:4 is converted to (7 * 2) : (3 * 5) : (4 * 6) = 14 : 15 : 24
Based the new ratio, we have:
Weight of contribution of the green pens to the total number of pens sold = 24 / (14 + 15 + 24) = 24 / 53 = 0.452830188679245
The number of green pens sold can now be calculated as follows:
Number of green pens sold = Total pens sold * Weight of contribution of the green pens to the total number of pens sold = 212 * 0.452830188679245 = 96
Therefore, the number of green pens sold is 96.
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Final answer:
The number of black pens, red pens, and green pens sold were 56, 60, and 96 respectively, based on the ratio and total count provided.
Explanation:
The problem at hand is related to ratio and proportion in Mathematics, and revolves around understanding the quantity of pens sold in each pack. Let's decipher the details from the question. We know that the packs of black, red, and green pens are sold in the ratio 7:3:4 respectively, and that each type of pack contains a different number of pens - 2 in black, 5 in red, and 6 in green. The total number of pens sold is 212.
Now, multiplying each ratio by the number of pens in each pack, we get 14 (7*2) for black pens, 15 (3*5) for red pens and 24 (4*6) for green pens. The sum of these values is 53. This sum represents the 'parts' in the ratio that make up the total number of 212 pens sold.
Each part, therefore, can be calculated as 212 / 53 = 4. This means that for every part in our ratio, 4 pens were sold. So, to find the number of pens sold in each colour, we multiply each value from earlier (14 for black, 15 for red, 24 for green) by 4. Therefore, the number of black pens sold was 56, red pens sold was 60, and green pens sold was 96.
Learn more about Ratio and Proportion here:
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