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17 Jun 2026, 19:00
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95% (01:54) correct
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Allison takes Blaise out to the ballgame and buys two bags of peanuts and three boxes of Cracker Jack for $12.75. At the seventh inning stretch, Blaise buys four boxes of Cracker Jack and three bags of peanuts for $17.50. How much does one bag of peanuts and one box of Cracker Jack cost?
(A) $3.75
(B) $4.25
(C) $4.50
(D) $4.75
(E) $5.75
(A) $3.75
(B) $4.25
(C) $4.50
(D) $4.75
(E) $5.75
General Discussion
ankushsambare
Joined: 13 Jun 2022
Last visit: 01 Sep 2026
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Schools: ISB '27 Wharton '26 INSEAD Aug '26
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17 Jun 2026, 19:43
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Let P = price of one bag of peanuts and C = price of one box of Cracker Jack.
We are given:
2P + 3C = 12.75
3P + 4C = 17.50
To eliminate P:
Multiply the first equation by 3:
6P + 9C = 38.25
Multiply the second equation by 2:
6P + 8C = 35.00
Subtract the second equation from the first:
C = 3.25
Now plug C = 3.25 into the first equation:
2P + 3(3.25) = 12.75
2P + 9.75 = 12.75
2P = 3.00
P = 1.50
So:
One bag of peanuts = $1.50
One box of Cracker Jack = $3.25
Therefore, one bag of peanuts and one box of Cracker Jack together cost:
$1.50 + $3.25 = $4.75
Answer: D ($4.75)
We are given:
2P + 3C = 12.75
3P + 4C = 17.50
To eliminate P:
Multiply the first equation by 3:
6P + 9C = 38.25
Multiply the second equation by 2:
6P + 8C = 35.00
Subtract the second equation from the first:
C = 3.25
Now plug C = 3.25 into the first equation:
2P + 3(3.25) = 12.75
2P + 9.75 = 12.75
2P = 3.00
P = 1.50
So:
One bag of peanuts = $1.50
One box of Cracker Jack = $3.25
Therefore, one bag of peanuts and one box of Cracker Jack together cost:
$1.50 + $3.25 = $4.75
Answer: D ($4.75)
