Question

Daniel is going to buy a pizza.


He can choose one pizza variety, one extra topping and one pizza size.


He can choose from


23 different pizza varieties


18 different extra toppings


The total number of ways Daniel can choose the pizza variety, the one extra topping and the


pizza size is 3726


Work out the number of different pizza sizes that Daniel can choose from.

Answer 1

Answer:

9

Step-by-step explanation:

For each pizza variety, Daniel can choose 18 different toppings. Therefore, for 23 pizza varieties, Daniel can choose from 23 * 18 = 414 different combinations of varieties and toppings.

For each pizza size, Daniel can choose from 414 different combinations of varieties and toppings. Therefore, for n pizza sizes, Daniel can choose from n * 414 = 3726 combinations

414n = 3726

divide both sides by 414 to isolate the n

n = 9