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Question 681903: There was a hawker who sold eggs. He brought 700 eggs at a price of $2.5 each. He then divided the eggs into two: a group of small eggs and a group of big eggs. He sold the big ones at a price of $3 each, and sold the small ones at a price of $2.8 each. He obtained a profit of $260 after selling all the eggs. How many big eggs did he sell?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! There was a hawker who sold eggs. He brought 700 eggs at a price of $2.5 each.
He then divided the eggs into two: a group of small eggs and a group of big eggs.
He sold the big ones at a price of $3 each, and sold the small ones at a price of $2.8 each.
He obtained a profit of $260 after selling all the eggs. How many big eggs did he sell?
:
Let b = no. of big eggs
Let s = no. of small eggs
;
b + s = 700
s = (700-b)
Find the total cost for the eggs
700(2.5) = $1750
:
Revenue from the eggs, - cost of eggs = profit
3b + 2.8s - 1750 = 260
replace s = (700-b)
3b - 2.8(700-b) - 1750 = 260
3b - 2.8b + 1960 - 1750 = 260
.2b + 210 = 260
.2b = 260 - 210
.2b = 50
b = 50/.2
b = 250 big eggs
:
:
Check this:
700 - 250 = 450 small eggs
Find the total revenue from each
3(250) + 2.8(450) = 2010
Subtract the cost to find the profit
2010 - 1750 = $260, confirms our solution
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