Correct Answer - Option 1 :
440 : 189
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 burger and pizza = (154 + 286) = 440
⇒ Number of female visitors order fries and cake = (84 + 105) = 189
⇒ Required ratio = 440 : 189
∴ The ratio between the orders of burger and pizza by male visitors together and the orders of fries and cake by female visitors together is 440 : 189.