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15 Aug 2017, 01:10
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E
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An ice cream parlor only serves single scoops of chocolate or vanilla ice cream, in either a cone or a cup. On a certain day, the parlor served 80 scoops of ice cream, of which 25% were in cups. If the parlor served 16 chocolate cones and 12 vanilla cups, how many scoops of vanilla did the parlor serve?
A. 40
B. 44
C. 48
D. 52
E. 56
A. 40
B. 44
C. 48
D. 52
E. 56
15 Aug 2017, 01:23
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Since the ice-cream parlor serves a total of 80 scoops of which 25% are in cups
It is clear that 20 cups and 60 cones are served.
There are a total of 2 flavors - Chocolate and Vanilla.
Since there are 12 vanilla cups, the remaining 8 are chocolate cups
Similarly since there are 16 chocolate cones, the remaining 44 are vanilla cones
Since we have been asked to find the total number of scoops of Vanilla, it must be 44+12 =56(Option E)
It is clear that 20 cups and 60 cones are served.
There are a total of 2 flavors - Chocolate and Vanilla.
Since there are 12 vanilla cups, the remaining 8 are chocolate cups
Similarly since there are 16 chocolate cones, the remaining 44 are vanilla cones
Since we have been asked to find the total number of scoops of Vanilla, it must be 44+12 =56(Option E)
nightblade354
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Expert reply
15 Aug 2017, 10:38
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Given: 16 chocolate cones and 12 vanilla cups; and number of cones is 60 (75% of the total) and cups is 20
-- 16 + x vanilla cones = 60 cones
-- x = 44
-- 44 + 12 = 56 total scoops of ice cream
-- 16 + x vanilla cones = 60 cones
-- x = 44
-- 44 + 12 = 56 total scoops of ice cream
Attachments
File comment: In this diagram, the orange is given, as explained above. The yellow is what you have to solve for. I hope this helps!
math.PNG [ 2.79 KiB | Viewed 4592 times ]
