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Numbers - Percentage

For COMPETITION
Number of Total Problems: 11.
FOR PRINT ::: (Book)

Problem Num : 11

From : AMC10

Type:

Section:Numbers

Theme:
Adjustment# : 0

Difficulty: 1

'
A carton contains milk that is $2$ % fat, an amount that is $40$ % less fat than the amount contained in a carton of whole milk. What is the percentage of fat in whole milk?
$mathrm{(A)} frac{12}{5}qquadmathrm{(B)} 3qquadmathrm{(C)} frac{10}{3}qquadmathrm{(D)} 38qquadmathrm{(E)} 42$
'

Category Percentage

Analysis

Solution/Answer
Rewording the question, basically we are being asked "2 is 40% less than what number?" If x represents the number we are looking for, then 40% less than the number would be represented by $x-0.4x$ or $0.6x$ . Thus $0.6x=2$ ; solving for x, we get $x=frac{10}{3}$ , $longrightarrow fbox{C}$

Answer:

Array ( [0] => 7888 ) 111 2