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Answer :
Answer:
The number of pens sold on Monday is 107 pens
Step-by-step explanation:
total pack of pen sold by the retailer in 3 days = 10 packs
total number of pens in the 10 packs = 48 x 10 = 480 pens
let the number of pens sold on Monday = x
let the number of pens sold on Sunday = y
let the number of pens sold on Tuesday = z
He sold twice as many pens on Sunday than on Monday
y = 2x ------equation (1)
He sold 55 pens fewer on Tuesday than on Sunday
y = z + 55 ------equation (2)
total number of pens sold in the three days
y + z + x = 480 ------equation (3)
from equation (1) make x the subject of the formula
x = y/2
from equation (2) make z the subject of the formula
z = y - 55
substitute the value of x, and z into equation (3)
y + y/2 + y - 55 = 480
2y + y/2 = 480 + 55
5y/2 = 535
5y = 535 x 2
5y = 1070
y = 1070 / 5
y = 214
The number of pens sold on Monday is:
x = y / 2
x = 214 / 2
x = 107 pens
Thus, the number of pens sold on Monday is 107 pens
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Rewritten by : Brahmana
Final answer:
The retailer sold 107 pens on Monday. This was calculated by setting up and solving an equation based on the information given in the question.
Explanation:
The question relates to the mathematical domain of problem-solving. The retailer sold a total of 480 pens (10 packs * 48 pens each). Let's say the retailer sold x pens on Monday. Since he sold twice as many on Sunday, he sold 2x pens that day. Furthermore, he sold 55 fewer pens on Tuesday than on Sunday, which would be 2x - 55 pens. Adding up the quantities sold each day, we have: x + 2x + 2x - 55 = 480. Simplifying gives 5x - 55 = 480, then 5x = 535 and finally, x = 107. So, the retailer sold 107 pens on Monday.
Learn more about Problem Solving here:
https://brainly.com/question/31606357
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