Answer this question: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?
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.
The answer is 12690.

Answer this question:Martine has 6 more than twice as many peaches as Benjy. Benjy has one-third as many peaches as Gabrielle. If Martine has 16 peaches, how many does Gabrielle have?
Benjy has b peaches. Martine has 6 + 2b = 16 peaches. 2b = 10. b = 5. Then Gabrielle has 5 * 3 = 15.
The answer is 15.

Answer this question:Sunny bakes 8 cakes. Then she gives away 2 cakes. Sunny wants to put candles on the remaining cakes. If she puts 6 candles on each cake, how many candles will she use in total?
Sunny has a total of 8 - 2 = 6 cakes. Sunny will use a total of 6 * 6 = 36 candles.
The answer is 36.

Answer this question:Matt buys a massager. At the lowest setting, it vibrates at 1600 vibrations per second. At the highest setting, it vibrates 60% faster. Matt uses it for 5 minutes at the highest setting. How many vibrations does he experience?
At the highest setting, it vibrates 1600 * .6 = 960 vibrations per second faster than the lowest setting. So it vibrates at 1600 + 960 = 2560 vibrations per second. Matt uses it for 5 minutes so that is 5 * 60 = 300 seconds. That means he experienced 2560 * 300 = 768,000 vibrations.
The answer is 768000.