A man purchased some eggs at 3 for $ 16 and sold them at 5 for $ 36. Thus, he gained $ 168 in all. How many eggs did he purchase?

mayonaisea2ef

mayonaisea2ef

Answered question

2023-02-26

A man purchased some eggs at 3 for $ 16 and sold them at 5 for $ 36. Thus, he gained $ 168 in all. How many eggs did he purchase?

Answer & Explanation

kolosalnoigrr

kolosalnoigrr

Beginner2023-02-27Added 9 answers

Let x represent the quantity of eggs purchased.
CP of 3 eggs = $16
∴ CP of 1 egg = $ 16/3
⇒ CP of x eggs = $ 16/3 x
SP of 5 eggs = $ 36
∴ SP of 1 egg = $ 36/5
⇒ SP of x eggs = $ 36/5 x
Gain = SP − CP = $168
∴ 36/5x -16/3x =168
⇒ 28/15 x =168
⇒x=168x15/28
⇒x=90
Therefore, the man purchased 90 eggs.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?