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? A single soft drink?

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