AMC 12 2007b Problem 12

A teacher gave a test to a class in which $10\%$ of the students are juniors and $90\%$ are seniors. The average score on the test was $84$. The juniors all received the same score, and the average score of the seniors was $83$. What score did each of the juniors receive on the test?

$\mathrm {(A)} 85 \mathrm {(B)} 88 \mathrm {(C)} 93 \mathrm {(D)} 94 \mathrm {(E)} 98$