Lizzy: Salaria is growing oranges this summer. She bought two types of trees. She has 50% of tree A and 50% of tree B. Tree A gives her 10 oranges a month and 60% are good. Tree B gives her 15 oranges and 1/3 are good. If she gets 55 good oranges per month, how many total trees does she have?.
Me: Hmmm, let me think. I think this is the detailed solution:
Each tree A gives her six good oranges a month 10 x .6 = 6. Each tree B gives her five good oranges a month because 15 x (1 / 3) = 5. On average, a tree gives her 5.5 oranges a month because .5(6) + .5(5) = 5.5. She has ten total trees because 55 / 5.5 = 10. Final answer: 10.