Answer:
Mrs. Fowler will get [tex]9[/tex] free pizza. And she needs two more coupon for the next pizza.
Step-by-step explanation:
Given that pizza stand gives a free pizza for every [tex]8[/tex] coupons.
And Mrs. Fowler has [tex]78[/tex] coupons.
Part (a)
How many free pizzas can Mrs. Fowler get if she has [tex]78[/tex]coupons?
We will divide total number of coupons [tex]78[/tex] by [tex]8[/tex] coupons.
[tex]\frac{78}{8}=9\frac{6}{8}[/tex]
When we divide we get quotient as [tex]9[/tex], with a remainder of [tex]6[/tex]. So, Mrs. Fowler will get [tex]9[/tex] free pizza.
Now, part (b)
If Mrs. Fowler adds two more coupons that will turn remainder [tex]6[/tex] into [tex]6+2=8[/tex].
So, she can have next pizza.