2007 AMC 10A Problem 5

A school store sells 7 pencils and 8 notebooks for \$4.15. It also sells 5 pencils and 3 notebooks for \$1.77. How much do 16 pencils and 10 notebooks cost?

\text{(A)}\ 1.76 \qquad \text{(B)}\ 5.84 \qquad \text{(C)}\ 6.00 \qquad \text{(D)}\ 6.16 \qquad \text{(E)}\ 6.32$

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