Welcome to the article A shop sells packs of black pens red pens and green pens There are 3 pens in each pack of black pens There are 5. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!
Answer :
The number of green pens sold at the shop was 176. We found this by setting up an equation based on the given ratios and the total number of pens sold, and then solving for the number of pens in each green pack.
To solve the problem, we need to set up a system of equations based on the ratios given for the packs of pens sold and the total number of pens sold. According to the problem, the ratio of packs of black pens to red pens to green pens sold is 7:3:4, respectively. With 3 pens in each pack of black pens, 5 in each red pack, and an unknown number x in each green pack, we can represent the numbers of pens sold from each type as 7 × 3, 3 × 5, and 4 × x, respectively.
Mathematically, we represent the total pens sold as follows: 7 × 3 + 3 × 5 + 4 × x = 212. This simplifies to 21 + 15 + 4x = 212. Solving for x gives us 4x = 212 - 36, then 4x = 176, and finally, x = 44. This means each green pack contains 44 pens, and since we sold 4 packs of green pens, the total number of green pens sold is 4 × 44 = 176 pens.
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Rewritten by : Brahmana