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14 Jan 2025, 01:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
85% (01:43) correct
15%
(01:49)
wrong
based on 109
sessions
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A grocery store sells boxes of two kinds of cereals, wheat-based and rice-based. In this store, the average weight of a box of rice-based cereal is 60 ounces, the average weight of a box of wheat-based cereal is 48 ounces, and the average weight of all the boxes of cereal is 50 ounces. What is the ratio in this store of boxes of rice-based cereals to wheat-based cereals?
A. \(\frac{1}{12}\)
B. \(\frac{1}{6}\)
C. \(\frac{1}{5}\)
D. \(\frac{1}{4}\)
E. \(\frac{1}{3}\)
A. \(\frac{1}{12}\)
B. \(\frac{1}{6}\)
C. \(\frac{1}{5}\)
D. \(\frac{1}{4}\)
E. \(\frac{1}{3}\)
14 Jan 2025, 04:22
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Simple allegation,
Let No. of Rice Based Cereals be r: avg wt 60
Let No. of Wheat Based Cereals be w: avg wt 48
60*r + 48*w = 50(r+w)
gives the ans
IMO C
Let No. of Rice Based Cereals be r: avg wt 60
Let No. of Wheat Based Cereals be w: avg wt 48
60*r + 48*w = 50(r+w)
gives the ans
IMO C
14 Jan 2025, 23:48
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The correct answer is C
Avg weight of rice based cereals (r) = 60 ounces
Avg weight of wheat based cereals (w) = 48 ounces
Avg weight of cereals (r+w)= 50 ounces
60r + 48w = 50r + 50w
r:w = 1:5
Avg weight of rice based cereals (r) = 60 ounces
Avg weight of wheat based cereals (w) = 48 ounces
Avg weight of cereals (r+w)= 50 ounces
60r + 48w = 50r + 50w
r:w = 1:5
