Carnival Fun

Amelia was trying to win a giant stuffed panda at the fair’s Bear Toss. She had to hit cutout figures of ten small bears and twelve large bears to win the panda. Every small bear was worth 25 points and every large bear was worth 15 points. Amelia hit twenty-two bears for 410 points. Did she win the panda? Why or why not?

(Source: Adapted from Mathematics Teaching in the Middle School, Sep-Oct 1996)