Josh spends a total of $4.50 buying N items in the convenience store.

Josh spends a total of $4.50 buying N items in the convenience store. If each of the items is either a 5 cents single bubblegum, or a 50 cents bubblegum pack, then N may be which of the following?

Quiz

Answer/Solution

81

Steps/Work

Let x be 0.05$ single bubblegum and y be the total 0.5$ packs ---> 0.05x+0.5y=4.5 ---> x+10y=90 ...(1)
Also, x+y=N ...(2)
Solving 1 and 2 , we get, N = 90-9y ---> only value satisfied is when y = 1---> N = 90-9=81.
C is the correct answer. Other options are not equal to multiples of 9 removed from 90.