1
algebra

A vendor sells hot dogs for $2 and sodas for $1. He sold 100 items total for $170. How many hot dogs?

A

50

B

70

C

30

D

60

Correct Answer: B

Choice Ahoice C is the correct answer.

  1. Define: Hot dogs = hh, Sodas = 100−h100 - h.
  2. Equation: 2h+1(100−h)=1702h + 1(100 - h) = 170
  3. Simplify: 2h+100−h=1702h + 100 - h = 170
  4. Combine: h+100=170h + 100 = 170
  5. Subtract 100: h=70h = 70
  6. Verify: 140+30=170140 + 30 = 170 ✓

Choice Ahoice D is incorrect because this is sodas.

Choice Ahoice D is incorrect because calculation error.

Choice Ahoice C is incorrect because calculation error.

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Linear Functions Set 34