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24 Mar 2022, 07:00
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
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Question Stats:
86% (01:22) correct
14%
(02:05)
wrong
based on 72
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History
Date
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Samantha saved $100 in 5 weeks. Each week she saved $6 more than the previous week. How much did she save in the first week?
A. $4
B. $8
C. $12
D. $16
E. $20
A. $4
B. $8
C. $12
D. $16
E. $20
thkkrpratik
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24 Mar 2022, 07:20
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Samantha saved $100 in 5 weeks. Each week she saved $6 more than the previous week. How much did she save in the first week?
A trick to solve such questions faster:
Samantha's savings in week 1 = x.
So consecutive weeks will be = x + 6, x + 12, etc.
However, we can also write it as follows (by taking the middle week as x):
Week 1 = x - 12
Week 2 = x - 6
Week 3 = x
Week 4 = x + 6
Week 5 = x + 12
By doing this, you eliminate the stress of adding and then again subtracting numbers from the total.
Amount saved over 5 weeks = x - 12 + x - 6 + x + x + 6 + x + 12 (you eliminate numbers here itself)
Total = 5x
Total in dollars = 100
Therefore, x = 20.
Week 1 = x - 12 = 8.
Option B.
A trick to solve such questions faster:
Samantha's savings in week 1 = x.
So consecutive weeks will be = x + 6, x + 12, etc.
However, we can also write it as follows (by taking the middle week as x):
Week 1 = x - 12
Week 2 = x - 6
Week 3 = x
Week 4 = x + 6
Week 5 = x + 12
By doing this, you eliminate the stress of adding and then again subtracting numbers from the total.
Amount saved over 5 weeks = x - 12 + x - 6 + x + x + 6 + x + 12 (you eliminate numbers here itself)
Total = 5x
Total in dollars = 100
Therefore, x = 20.
Week 1 = x - 12 = 8.
Option B.
24 Mar 2022, 07:25
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Explanation:
let Samantha saved x $ in the first week.
so in the coming weeks, she will save, x+6, x+12, x+18, x+24.
5 week total saving = 100
x + x+6 + x+1 + x+18 + x+24 = 100
5x + 60 = 100
x = 40/5
x = 8$
IMO-B
let Samantha saved x $ in the first week.
so in the coming weeks, she will save, x+6, x+12, x+18, x+24.
5 week total saving = 100
x + x+6 + x+1 + x+18 + x+24 = 100
5x + 60 = 100
x = 40/5
x = 8$
IMO-B
