Question

At a baseball game, a vender sold a combined total of 166 sodas and hot dogs. The number of sodas sold was 44 more than the number of hot dogs sold. Find

the number of sodas sold and the number of hot dogs sold.
Number of sodas sold:
Number of hot dogs sold:

Answer 1

number of sodas sold = 105

number of hot dogs sold = 61

Explanation:

i) Let the number of sodas sold be = x

ii) Let the number of hot dogs sold be = y

iii) It is given that the total number of hot dogs and sodas sold = 166

Therefore we can say that x + y = 166

iv) It also given that the number of sodas sold was 44 more than the number of hot dogs sold

Therefore we can say that x = y + 44

v) Substituting the value of x from iv) in the equation in iii) we get

(y + 44) + y = 166 ⇒ 2y + 44 = 166 ⇒ 2y = 122 ∴ y = 61

Therefore the number of hot dogs sold = 61

vi) Substituting the value of y from v) in iv) we get

x = y + 44 ⇒ x = 61 + 44 ∴ x = 105

Therefore the number of sodas sold = 105