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16 Jun 2018, 09:36
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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:
35%
(medium)
Question Stats:
75% (02:04) correct
25%
(02:10)
wrong
based on 124
sessions
History
Date
Time
Result
Not Attempted Yet
Cindy bought 48 containers of soda, all either 12-ounce cans or 20-ounce bottles. If the number of ounces she purchased in cans was equal to the number of ounces she purchased in bottles, how many bottles of soda did Cindy buy?
(A) 18
(B) 21
(C) 24
(D) 27
(E) 30
(A) 18
(B) 21
(C) 24
(D) 27
(E) 30
16 Jun 2018, 09:48
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Bunuel
Questions dealing with ratios can often be solved based on logic and ratio manipulation, with very little calculation.
We'll look for such an approach, a Logical solution.
If the ratio of (ounces in a can): (ounces in a bottle) = 12:20 = 3:5 then for there to be an equal amount of ounces from each the ratio between (number of cans) : (number of bottles) needs to be the inverse, that is 5:3. So, if one ratio unit is 48/(5+3)=48/8=6 then there are 6*3 = 18 total cans.
(A) is our answer.
17 Jun 2018, 06:33
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Bunuel
Use the answer choices.
B = bottles. 20 ounces per bottle
C = cans. 12 ounces per can
Key: find total ounces of B from # of bottles.
Total ounces of B also = total ounces of C.
Find the # of cans.
The number of bottles + cans must = 48 (total containers)
Start with C) 24 bottles of soda
Total ounces, B = (# of B)*(# ounces per B)
(24B * 20 oz) = 480 ounces total
Cans also have a total of 480 ounces
How many cans?
Divide total ounces by ounces per can
\(\frac{TotalOunces}{OzsPerCan}=\frac{480}{12}=40C\)
24B + 40C = 64 containers total
Too many containers. We need 48.
Bottles have more ounces each than cans have.
More B = greater total # of ounces. 24 B produced too many ounces.
We need fewer bottles.
Eliminate C, D, and E (D and E have MORE bottles)
A or B? 64 containers were far too many
Try A) 18 B
(18 B * 20 ounces) = 360 ounces total
Cans also = 360 ounces total
# of C? \(\frac{360ounces}{12perC}=30C\)
18B + 30C = 48 containers total. Correct
Answer A
