Question

Hotdogs are sold for a dollar and hamburgers are sold for $1.50. 175 hotdogs and hamburgers were sold in $235 was collected. How many hotdogs were sold?

Answer 1

55 Hot dogs were sold

Explanation:

Let d = hot dogs

Let h = hamburgers

d + h = 175

d + 1.50h = 235

Re-write

d + h = 175 for d and then substitute this into the second equation

d = 175 - h

d + 1.5 h = 235

175 - h + 1.50h = 235 Combine like terms

175 + .5h = 235 Subtract 175 from both sides

.5 h = 60 Divide both sides by .5

h = 120

120 Hamburgers were sold.

Plug in 120 for h to solve for hot does

d + h = 175

d + 120 = 175 Subtract 120 from both sides

d = 55

Check

d + 1.5h = 235

55 + 1.5(120) = 235

55 + 180 = 235

235=235