SOLUTION: A vendor sells hot dogs and bags of potato chips. A customer buys 5 hot dogs and 4 bags of potato chips for $6.05. Another customer buys 4 hot dogs and 3 bags of potato chips for
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Question 1142421: A vendor sells hot dogs and bags of potato chips. A customer buys 5 hot dogs and 4 bags of potato chips for $6.05. Another customer buys 4 hot dogs and 3 bags of potato chips for $4.75. Find the cost of each item.
Answer by greenestamps(13209) (Show Source): You can put this solution on YOUR website!
Formally, using algebra....
Solve the pair of equations by any method you like....
Informally, using logical reasoning and some mental arithmetic....
(1) The difference between the two purchases is 1 hot dog and 1 bag of chips for $1.30.
(2) So the cost of 3 hot dogs and 3 bags of chips is $3.90.
(3) Then, since the cost of 4 hot dogs and 3 bags of chips is $4.75, the cost of 1 hot dog is $4.75-$3.90 = 85 cents.
(4) So 4 hot dogs cost 4*85 cents = $3.40; that means the cost of the 3 bags of chips is $4.75-$3.40 = $1.35; and that means the cost of a big of chips is $1.35/3 = 45 cents.
ANSWER: hot dog 85 cents; bag of chips 45 cents
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