reto wrote:

Josh spends a total of $5.50 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?

A. 99

B. 100

C. 101

D. 109

E. 140

Let x be the number of single bubblegums and y be the number of bubblegum pack.

then

5x+50y=550

or x+10y=110

or x=110-10y

Now,

let y=0, then x= 110 and N=x+y or N=0+110 =110.

let y=1, then x=100 and N=100+1= 101 (given in the options)

let y=2, then x= 90 and N=92

the value will further decrease and hence we do not need to calculate anymore values.

ANSWER:- C