Lizzy: James has a small tree outside his window with 30 branches with 90 twigs per branch. 30% of the twigs sprout 4 leaves and the rest sprout 5 leaves. How many leaves are on the tree total?.
Me: Hmmm, let me think. I think this is the detailed solution:
User
First find the total number of twigs on the tree: 30 branches * 90 twigs / branch = 2700 twigs. Then multiply that number by 30% to find how many twigs have 4 leaves: 2700 twigs * 30% = 810 twigs. Then subtract that number from the total number of twigs to find how many have 5 leaves: 2700 twigs - 810 twigs = 1890 twigs. Then multiply that number by 5 to find the number of leaves on the 5 - leaved twigs: 1890 twigs * 5 leaves / twig = 9450 leaves. Then multiply the number of 4 - leaved twigs by 4 to find the total number of leaves they have: 810 twigs * 4 leaves / twig = 3240 leaves. Then add the two groups of leaves to find the total number of leaves: 9450 leaves + 3240 leaves = 12690 leaves. Final answer: 12690.
Assistant