One group of people purchased 10 hot dogs and 5 soft drinks for $35. Another group purchased 7 hot dogs and 4 soft drinks for $25.25.
What is the cost of a single hot dog? What is the cost of a single soft drink?
Answer (2)
10 H + 5 D = $35 times all by 4 40 H + 20 D = $140.00 7 H + 4 D = $25.25 times all by 5 - 35 H - 20 D = -126.25 and subtract Subtract 5 H = $13.75 Divide by 5 to find price of one hot dog H = $2.75
10 ($2.75) + 5 D = $35 input cost of one hot dog into first equation $27.50 + 5 D = $35.00
$27.50 = - 27.50 5 D = 7.50 divide by 5 so one drink is $1.50 then go back and check
The cost of a single hot dog is $2.75, and the cost of a single soft drink is $1.50. This was determined by setting up a system of equations based on the given purchases and solving for the unknown costs. Through the elimination method, we calculated the costs step-by-step.
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