• ### Integer math problem - see details. Sample question from WA mandatory HS math test - would you graduate?

Professor Nonsense has a theory about how flowers grow. He believes that every night bugs tug at flowers to get them to grow and then open them carefully just before sunrise. He says that the dewdrops on flowers are actually drops of bug sweat. The professor tells about a small county in which dragonflies each open 6 roses, 4 daisies, and 6... show more
Professor Nonsense has a theory about how flowers grow. He believes that every night bugs tug at flowers to get them to grow and then open them carefully just before sunrise. He says that the dewdrops on flowers are actually drops of bug sweat. The professor tells about a small county in which dragonflies each open 6 roses, 4 daisies, and 6 daffodils per night; ladybugs each open 1 petunia, 2 pansies, and 1 tulip; moths each open 3 chrysanthemums and 5 violets; and bees each open 17 tiger lilies and 3 iris. Dragonflies deposit 10 sweat drops on each flower they open; ladybugs leave 5 drops, moths deposit 40 drops, and bees leave 15 drops. One morning last summer the professor counted 74,360 sweat drops on the flowers. He noticed four times as many 10-drop flowers as 5-drop flowers, and 3 times as many 15-drop flowers as 40-drop flowers. How many of each kind of insect had been working on the flowers the night before?