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The ratio, in ounces, of coffee to cream to sugar in one's dinner beverage is 8:2:1. Another diner wants to double the

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by BTGmoderatorDC » Thu Dec 24, 2020 10:17 pm

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The ratio, in ounces, of coffee to cream to sugar in one's dinner beverage is 8:2:1. Another diner wants to double the ratio of coffee to sugar but maintain the ratio of coffee to cream. If the new drink will fill a 42-ounce thermos, how many ounces of cream are needed?

A. 1
B. 2
C. 4
D. 8
E. 32


OA D

Source: Princeton Review
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Re: The ratio, in ounces, of coffee to cream to sugar in one's dinner beverage is 8:2:1. Another diner wants to double t

by swerve » Sat Dec 26, 2020 6:43 am
BTGmoderatorDC wrote: ↑
Thu Dec 24, 2020 10:17 pm
 The ratio, in ounces, of coffee to cream to sugar in one's dinner beverage is 8:2:1. Another diner wants to double the ratio of coffee to sugar but maintain the ratio of coffee to cream. If the new drink will fill a 42-ounce thermos, how many ounces of cream are needed?

A. 1
B. 2
C. 4
D. 8
E. 32


OA D

Source: Princeton Review
Coffee : Cream : Sugar \(\Rightarrow 8:2:1\)

Double ratio of coffee; sugar; \(16:1\)

But maintain ratio coffee to cream; \(16:4\)

Total; \(16x+4x+1x \Rightarrow 21x=42 \Rightarrow x=2\)

So, ounces of cream \(4\cdot x= 8\)
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