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A supply of sugar lasts for 30 days. If its use is increased by 50 per
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08 Dec 2021, 10:01
08 Dec 2021, 10:01
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47% (01:11) wrong based on 21 sessions
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A supply of sugar lasts for 30 days. If its use is increased by 50 percent, how many days would the same amount of sugar last?
A) 15
B) 20
C) 25
D) 30
E) 45
A) 15
B) 20
C) 25
D) 30
E) 45
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Re: A supply of sugar lasts for 30 days. If its use is increased by 50 per
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08 Dec 2021, 11:09
08 Dec 2021, 11:09
1
Carcass wrote:
A supply of sugar lasts for 30 days. If its use is increased by 50 percent, how many days would the same amount of sugar last?
A) 15
B) 20
C) 25
D) 30
E) 45
A) 15
B) 20
C) 25
D) 30
E) 45
A supply of sugar lasts for 30 days.
To make our calculations easier (and avoid using variables), we can assign a "nice" value to the starting supply of sugar.
Let's say we begin with 30 cups of sugar.
If 30 cups of sugar lasts for 30 days, then we must be using 1 cup sugar per day.
If its use is increased by 50 percent, how many days would the same amount of sugar last?
If we increase sugar usage by 50%, then the usage of sugar increases from 1 cup sugar per day to 1.5 cups sugar per day
Time = output/rate
So, time to use all 30 cups of sugar at a rate of 1.5 cups sugar per day = 30/1.5 = 20 days
Answer: B
Re: A supply of sugar lasts for 30 days. If its use is increased by 50 per
[#permalink]
08 Dec 2021, 23:26
08 Dec 2021, 23:26
1
Consumption must be inversely related to the no. of days sugar lasts
So if use of sugar increases by 50% or by 1/2, time it lasts must reduce by 1/3 or 33.33%,
so time it will last = 30(1-(1/3)) = 30 * (2/3) = 20 days
So if use of sugar increases by 50% or by 1/2, time it lasts must reduce by 1/3 or 33.33%,
so time it will last = 30(1-(1/3)) = 30 * (2/3) = 20 days
