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Three pounds of raisins and 4 pounds of corn flakes are used to make a

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Bunuel
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Three pounds of raisins and 4 pounds of corn flakes are used to make a [#permalink] New post   19 Jan 2017, 08:00
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Three pounds of raisins and 4 pounds of corn flakes are used to make a large bag of breakfast cereal. Raisins cost $1.11 per pound and flakes cost $.90 per pound. What must the grocer charge for a pound of the cereal to make a profit of 21 cents per pound?

A. $0.99
B. $1.00
C. $1.07
D. $1.20
E. $1.21
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D
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Re: Three pounds of raisins and 4 pounds of corn flakes are used to make a [#permalink] New post   19 Jan 2017, 08:35
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3 pounds of raisins + 4 pounds of corn flakes- 7 pounds of cereal.

7 pounds of cereal cost -( 1.11*3)+(0.90*4)=$6.93

1 pound of cereal costs=$ 0.99

Profit= Selling price - Cost price
0.21= S.P-0.99
S.P = $1.20

Answer is D
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Re: Three pounds of raisins and 4 pounds of corn flakes are used to make a [#permalink] New post   19 Jan 2017, 09:25
Bunuel wrote:
Three pounds of raisins and 4 pounds of corn flakes are used to make a large bag of breakfast cereal. Raisins cost $1.11 per pound and flakes cost $.90 per pound. What must the grocer charge for a pound of the cereal to make a profit of 21 cents per pound?

A. $0.99
B. $1.00
C. $1.07
D. $1.20
E. $1.21


3 pounds of raisins cost = $ 3.33
4 pounds of corn flakes cost = $ 3.60

So, 7 Pounds of breakfast cereal costs $ 6.93

The trader wants to make $ 0.21 per pound, so total profit for 7 pounds is $ 1.47

Total Selling Price of 7 Pounds of Breakfast Cereals will be $ 8.40

So, The grocer must charge $ 1.20

Answer will be (D) $ 1.20
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Three pounds of raisins and 4 pounds of corn flakes are used to make a [#permalink] New post   19 Jan 2017, 09:36
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Raisins - 3 x 1.11 = 3.33 ; Corn Flakes - 0.9 x 4 = 0.36 ; 7 pounds cost = 3.33 + 3.60 = 6.93
21 cent per pound -> 0.21 x 7 = 1.47 Profit for all 7 pounds
Total = 6.93 + 1.47 = 8.40. Per pound -> 8.40/7 = 1.20

Choice - D
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Re: Three pounds of raisins and 4 pounds of corn flakes are used to make a [#permalink] New post   09 Sep 2019, 19:30
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Bunuel wrote:
Three pounds of raisins and 4 pounds of corn flakes are used to make a large bag of breakfast cereal. Raisins cost $1.11 per pound and flakes cost $.90 per pound. What must the grocer charge for a pound of the cereal to make a profit of 21 cents per pound?

A. $0.99
B. $1.00
C. $1.07
D. $1.20
E. $1.21



Let p be the price the grocer must charge so that a profit of 21 cents is made per pound. Note that the grocer is making 7 pounds of breakfast cereal from the two ingredients.

7p - 4(0.9) - 3(1.11) = 0.21 x 7

7p - 3.6 - 3.33 = 1,.47

7p = 8.4

p = 1.2

Answer: D
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Re: Three pounds of raisins and 4 pounds of corn flakes are used to make a [#permalink]
09 Sep 2019, 19:30
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