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Question 1200890: Zack spent 1/3 of his money on food. He then used 1/4 of the remainder to buy 3 breads. What fraction of his money did he spend on each bread?
Answer by math_tutor2020(3817)   (Show Source):
You can put this solution on YOUR website!
Answer: 1/18
Explanation:
It seems a bit strange that he spent 1/3 of his money on food, then further spent to buy 3 loaves of bread.
Wouldn't the bread be part of the "food" category? Perhaps your teacher should replace "bread" with some non-food item.
Ignoring that nitpick, here is how I would approach the problem.
He spent 1/3 of his money on food, so he has 2/3 of it left.
1/4 of 2/3 = (1/4)*(2/3) = 2/12 = 1/6
He spent 1/6 of his money to buy 3 loaves of bread.
1/6 of his money : 3 loaves
(1/3)*(1/6 of his money) : (1/3)*(3 loaves)
1/18 of his money : 1 loaf
Example:
Let's say Zack started with $18
1/3 of 18 = (1/3)*18 = 18/3 = 6 dollars was spent on food
18-6 = 12 dollars remain, note that (2/3)*18 = 12.
1/4 of 12 = 12/4 = 3 dollars was spent on 3 loaves of bread. Therefore, each loaf is 3/3 = 1 dollar.
Each loaf being $1, and him starting with $18, leads to 1/18 of his original money spent per loaf of bread.
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