Question. Angeli had 90 assorted candies. One-third of the candies were lollipops and the rest were candy canes. She then shared the lollipops equally among the boys such that each boy received 3. She then shared the candy canes equally among the girls such that each received 2. How many boys and girls were given altogether?
Answer. 40
What step-by-step reasoning justifies that answer?
Reasoning: There were 90 / 3 = 30 lollipops. So, 90 - 30 = 60 are candy canes. Each boy received 3 lollipops, so there were 30 / 3 = 10 boys. Each girl received 2 candy canes, so there were 60 / 2 = 30 girls. Altogether, there were 10 + 30 = 40 boys and girls.