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29 Oct 2018, 07:11
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
83% (02:02) correct
17%
(02:35)
wrong
based on 115
sessions
History
Date
Time
Result
Not Attempted Yet
Susan spent one-third of her money on books and half of the remaining money on clothing. She then spent three-fourths of what she had left on food. She had $5 left over. How much money did she start with?
A. $60
B. $80
C. $120
D. $160
E. $180
A. $60
B. $80
C. $120
D. $160
E. $180
29 Oct 2018, 08:29
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Bunuel
Susan spent one-third of her money on books and half of the remaining money on clothing. She then spent three-fourths of what she had left on food. She had $5 left over. How much money did she start with?
A. $60
B. $80
C. $120
D. $160
E. $180
A. $60
B. $80
C. $120
D. $160
E. $180
Let the amount of money she had be 12x
Amount spent on books = 4x
Amount spent on clothing = 4x
Amount spent on food = 3x
Amount left = x = $5
So, the total amount of money she had is $ 60, Answer must be (A)
30 Oct 2018, 03:28
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Solution
Given:
- • Susan spent
- o \(\frac{1}{3}^{rd}\) of her money on books,
o \(\frac{1}{3}^{rd}\)on clothing
o \(\frac{1}{4}^{th}\) on food
• She had $5 left over
To find:
- • The total money she had at the beginning
Approach and Working:
- • Let the initial amount be $X
• Left over money = \((1 - \frac{1}{3} - \frac{1}{3} - \frac{1}{4}) * $X = $5\)
- o Implies, X = $5 * 12 = $60
Hence, the correct answer is Option A
Answer: A
