Question

At a hockey game, a vender sold a combined total of 210 sodas and hot dogs. The number of sodas sold was 36 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.

Answer 1

123 soda and 87 hot dogs

Explanation:

Let s = # soda and h = # hot dogs

s + h = 210 s = h + 36 Substitute the h + 36 for s into the first equation

s + h = 210

(h + 36) + h = 210

h + 36 + h = 210 Combine the h's

2h + 36 = 210 Subtract 36 from both sides

2h = 174 Divide both sides by 2

h = 87 This is the number of hot dogs. Substitute this into either equation above to find the sodas.

s + h = 210

s + 87 = 210

s = 123

OR

s = h + 36

s = 87 + 36

s = 123