Let's start by assigning each type of pizza a letter:
C = cheese pizzas
P = pepperoni pizzas
We know that Papa sold four times as many pepperoni pizzas as he sold cheese pizzas. So:
P = 4C
We also know that, altogether, Papa sold 675 pizzas. So:
P + C = 675
Since P = 4C, we can substitute:
4C + C = 675
5C = 675
C = 135
So Papa sold 135 cheese pizzas.
Well, if Papa sold four times as many pepperoni pizzas as he sold cheese pizzas, then he must have sold 4 x 135 = 540 pepperoni pizzas.
Do the number of cheese pizzas sold and the number of pepperoni pizzas sold add up to 675? Let's check:
P + C = 675
540 + 135 = 675.
Yes, we are right!