Correct Answer - Option 1 : 303
Given:
Total number of visitors = 1800
Number of female visitors order hotdogs = 147
Number of male visitors order hotdogs = 154
Calculation:
Let the total number of female visitors be x
⇒ Number of female visitors ordered burger = (24/100) × x
⇒ Number of female visitors ordered pizza = (28/100) × x
⇒ Number of female visitors ordered fries = (12/100) × x
⇒ Number of female visitors ordered cake = (15/100) × x
Number of female visitors order hotdog = x – {(0.24)x + (0.28)x + (0.12)x + (0.15)x} = 0.21x
⇒ 0.21x = 147
⇒ x = 14700/21 = 700
⇒ Total number of female visitors = 700
Let the total number of male visitors be y
⇒ Number of male visitors ordered burger = (14/100) × y
⇒ Number of male visitors ordered pizza = (26/100) × y
⇒ Number of male visitors ordered fries = (28/100) × y
⇒ Number of male visitors ordered cake = (18/100) × y
Number of male visitors order hotdog = y – {(0.14)y + (0.26)y + (0.28)y + (0.18)y} = 0.14y
⇒ 0.14y = 154
⇒ y = 15400/14 = 1100
⇒ Total number of male visitors = 1100
Snacks
|
Male
|
Female
|
Burger
|
154
|
168
|
Pizza
|
286
|
196
|
Fries
|
308
|
84
|
Cake
|
198
|
105
|
Hotdog
|
154
|
147
|
Number of male visitors order cake = (18/100) × 1100 = 198
Number of female visitors order cake = (15/100) × 700 = 105
Total number of visitors ordered cake = 198 + 105 = 303
∴ The total number of visitors who ordered the cake is 303.