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A packet contains pens of three different colours.There are 5 times as many blue pens as red pens.There are 3 times as many green pens as red pens.Which of these numbers could be the number of pens in the packet?Question response areaSelect one option  8101618

Question

A packet contains pens of three different colours.There are 5 times as many blue pens as red pens.There are 3 times as many green pens as red pens.Which of these numbers could be the number of pens in the packet?Question response areaSelect one option  8101618

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Solution

Let's break down the problem:

  1. We know that there are three different colors of pens: red, blue, and green.

  2. The number of blue pens is 5 times the number of red pens.

  3. The number of green pens is 3 times the number of red pens.

Let's denote the number of red pens as x. Then the number of blue pens is 5x and the number of green pens is 3x.

The total number of pens in the packet would then be x (red) + 5x (blue) + 3x (green) = 9x.

So, the total number of pens in the packet must be a multiple of 9.

Looking at the options given: 8, 10, 16, 18, only 18 is a multiple of 9.

So, 18 could be the number of pens in the packet.

This problem has been solved

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