17.(A.O.I Topic 12 Algebra 1) A group of teachers use green and red pens. For every green pen used up, three red pens get used up. The green and red pens are packed in packs of 30 pieces and 50 pieces respectively. One green pen costs sh2000 and one red pen costs sh1000. Sh 1,050,000 is to be used to buy the pens so that they get finished at the same time. They want to know the number of packs of each color of pen. Knowledge: Forming and solving simple equations. Tasks: Help find the number of packs of each color of pen.​



Answer :

Based on the calculation below, the number of packs of green pens is 7, while the number of packs of red pens is 12.60.

How do we use the ratio to solve a problem?

Let g and r represent the number of green and red pens respectively.

Therefore, we have the following ratio:

g = 1:3 = r

Since one green pen costs sh2000 and one red pen costs sh1000; the ratio 1:3 above implies that for every sh2000 spent on green, sh3000 (i.e. 3 * sh1000) is spent on red pen.

To ensure that the pens get finished at the same time, the total budget of sh1,050,00 is shared between the two pens as follows:

Amount to spend on green pen = (2000 / (2000 + 3000)) * sh1,050,00 = sh420,000

Amount to spend on red pen = (3000 / (2000 + 3000)) * sh1,050,00 = sh630,000

Therefore, we have:

Number of green pen = Amount to spend on green pen / Price per green pen = sh420,000 / sh2000 = 210

Number of red pen = Amount to spend on red pen / Price per red pen = sh630,000 / sh1000 = 630

Finally, we have:

Number of packs of green pen = 210 / 30 = 7

Number of packs of red pen = 630 / 50 = 12.60

Learn more about ratios here: https://brainly.com/question/13419413.

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