Funky Pizzana was required to supply pizzas to three different parties. The total number of pizzas it had
to deliver was 800, 70% of which were to be delivered to Party 3 and the rest equally divided between
Party land Party 2.
Pizzas could be of Thin Crust (T) or Deep DIsh (0) variety and come in either Normal Cheese (NC) or Extra Cheese (EC) versions. Hence, there are four types of pizzas: T-NC, T-EC, D-NC and D-EC. Partial
information about proportions of T and NC pizzas ordered by the three parties is given below:
Thin Crust (T) |
Normal Cheese (NC) |
|
Party 1 |
0.6 |
|
Party 2 |
0.55 |
0.3 |
Party 3 |
0.65 |
|
Total |
0.375 |
0.52 |
Question : How many Thin Crust pizzas were to be delivered to Party 3?
398
162
196
364
Given:
Party |
T |
NC |
1 |
0.6 |
0.4 |
2 |
0.55 |
0.3 |
3 |
0.65 |
0.35 |
Based on given data, the below can be deduced:
The total number of thin crust pizzas is 0.375 x 800 = 300
The total number of deep-dish pizzas is 800 - 300 = 500
Party 1 received 120 pizzas, of which 60% were thin crust, so they received 0.6 x 120 = 72 thin crust pizzas.
Party 2 also received 120 pizzas, of which 55% were thin crust, so they received 0.55 x 120 = 66 thin crust pizzas.
Therefore, Party 3 received 300 - 72 - 66 = 162 thin crust pizzas.