Answer:
number of sodas sold = 105
number of hot dogs sold = 61
Step-by-step 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
