2006 AMC 10B Problem 22

Elmo makes N sandwiches for a fundraiser. For each sandwich he uses B globs of peanut butter at 4\text{ cents} per glob and J blobs of jam at 5\text{ cents} per blob. The cost of the peanut butter and jam to make all the sandwiches is \$2.53. Assume that B, J, and N are positive integers with N>1. What is the cost of the jam Elmo uses to make the sandwiches?

\mathrm{(A) \ } 1.05\qquad \mathrm{(B) \ } 1.25\qquad \mathrm{(C) \ } 1.45\qquad \mathrm{(D) \ } 1.65\qquad \mathrm{(E) \ } 1.85

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.