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22 Nov 2007, 06:00
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C
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Arabica coffee costs $0.40 per ounce, while Robusta coffee costs $0.30 per ounce. If a blend of Arabica and Robusta costs $0.33 per ounce, what percentage of the blend is Arabica?
A. 20%
B. 24%
C. 30%
D. 33%
E. 40%
M21-34
A. 20%
B. 24%
C. 30%
D. 33%
E. 40%
M21-34
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22 Nov 2007, 07:39
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a= amount of arabica coffee
1-a = amount of robusta coffee. because if you subtract a from the 1 ounce, the remaining amount is robusta
therefore:
.4a + .3(1-a) = .33
.4a + .3 - .3a = .33
a= .3
therefore: .3/1 ounce = 30%. Therefore, the answer should be C
1-a = amount of robusta coffee. because if you subtract a from the 1 ounce, the remaining amount is robusta
therefore:
.4a + .3(1-a) = .33
.4a + .3 - .3a = .33
a= .3
therefore: .3/1 ounce = 30%. Therefore, the answer should be C
General Discussion
28 Jun 2015, 05:52
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bmwhype2
Arabica coffee costs $0.4 per ounce while Robusta coffee costs $0.3 per ounce. If the blend of Arabica and Robusta costs $0.33 per ounce, what is the share of Arabica in this blend?
A. 20%
B. 24%
C. 30%
D. 33%
E. 40%
M21-34
A. 20%
B. 24%
C. 30%
D. 33%
E. 40%
M21-34
If the blend contains \(A\) ounces of Arabica and \(R\) ounces of Robusta then \(\frac{A0.4 + R0.3}{A + R} = 0.33\) or \(0.07A = 0.03R\) or \(\frac{A}{R} = \frac{3}{7}\). Hence \(\frac{A}{(A + R)} = \frac{A}{(TOTAL)} = \frac{3}{(3 + 7)} = \frac{3}{10} = 30%\).
Answer: C
