2006 AMC 12B Problem 14

Elmo makes N sandwiches for a fundraiser. For each sandwich he uses B globs of peanut butter at 4 cents per glob and J blobs of jam at 5 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 all 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.