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11 Mar 2020, 03:16
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Difficulty:
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Question Stats:
87% (01:34) correct
13%
(01:37)
wrong
based on 77
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A candy company sells premium chocolate candies at $5 per pound and regular chocolate candies at $4 per pound in increments of whole pounds only. If Bronte buys a 7-pound box of chocolate candies that costs $31, how many pounds of premium chocolate candies are in the box?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
11 Mar 2020, 08:14
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Bunuel
A candy company sells premium chocolate candies at $5 per pound and regular chocolate candies at $4 per pound in increments of whole pounds only. If Bronte buys a 7-pound box of chocolate candies that costs $31, how many pounds of premium chocolate candies are in the box?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
let cost of premium chocolate = x and of regular be y
so 5x+3y=31
and x+y=7
also given in question stem is that rates are given in increments of whole pounds only
so value of x<y
lets use plug in technique ; let x=3 so y = 4
sufficient as 5*3+4*4 = 31
IMO C ; 3
11 Mar 2020, 10:53
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Bunuel
A candy company sells premium chocolate candies at $5 per pound and regular chocolate candies at $4 per pound in increments of whole pounds only. If Bronte buys a 7-pound box of chocolate candies that costs $31, how many pounds of premium chocolate candies are in the box?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
\(31 = 5p + 4r\)-------------------------------->(I)
\(7 = p + r\) Or, \(35 = 5p + 5r\)-------------------------------->(II)
(II) - (I) is \(4 = r\)
So, \(p = 3\), Hence premium chocolate candies are in the box is (C) 3
