Q: Brian has the same percentage of white stones and black stones in his collection of 100 stones as he does of grey stones and green stones in a separate collection. He has 40 grey stones and 60 green stones. How many white stones does Brian have if he has more white stones than black ones?
A: First we must determine the percentage of the grey and green stones. We add the two amounts together, finding 40 + 60 = 100. We then figure out that 40 / 100 = .4, meaning 40 percent of the stones are grey in the second selection. This means that 1.0 - .4 = .6, or 60 percent of the stones are green. Since there are more green stones than grey stones, and the white and black pile have the same percentage, and there are more white stones than black stones, that means there are 60 percent white stones in the first pile. Therefore, to find the number of white stones we multiply 100 * .6 = 60 white stones. The answer is 60.
Question: There were 50 people on the city bus. At the first stop, 15 people got off. At the next stop 8 people got off and 2 got on. At the third stop, 4 people got off and 3 people got on. How many people are on the bus after the third stop?
Answer: The bus started with 50 people – 15 who got off at the first stop = 35 people on the bus. At the second stop, 35 people on the bus – 8 who got off = 27 people. Then there were 27 people + 2 who got on = 29 people on the bus. At the third stop, 29 people on the bus – 4 who got off = 25 people on the bus. Then there were 25 people on the bus + 3 who got on = 28 people on the bus. The answer is 28.
[Question]Toby’s father gave him $343 for passing the test. Toby decided to share it with his two brothers, so he gave each of them 1/7 of $343. How many dollars are left for Toby?
[Answer]Toby gave each of his brothers 1 / 7 * $343 = $49. Toby gave his 2 brothers a total of 2 * $49 = $98. So, Toby now has $343 – $98 = $245. The answer is 245.
Q: Dikembe wants to teach everyone at school about the importance of flossing, so he plans to bring enough packets of floss for everyone. There are 20 students in his class. Each student needs 1.5 yards of floss. He sees in the store that each packet of floss contains 35 yards. If he buys the least amount necessary, how much floss is left over?
A: He will need to bring 30 yards of floss because 20 x 1.5 = 30. One packet of floss is enough because 35 > 30. He has 5 yards left over because 35 - 30 = 5. The answer is 5.
Question: A group of hawks is called a kettle. It is breeding season for hawks. A group of ornithologists are tracking 6 kettles of hawks. Each kettle has an average of 15 pregnancies that yield 4 babies per batch. How many babies are expected this season if approximately 25% are lost?
Answer: Each kettle has 15 hawks that get pregnant and each one yields 4 babies per pregnancy so there are 15 * 4 = 60 babies expected per kettle. If 60 baby hawks are expected per kettle and the ornithologists are tracking 6 kettles total then there are 60 * 6 = 360 baby hawks expected across all six kettles this breeding season. If there 25% of eggs do not hatch, then we are looking for 25 (percent that do not make it) / 100 (total number of babies expected) = .25 (percentage converted to decimal form for the proportion of expected baby hawks to be lost). The total number of baby hawks expected equals 360 * .25 expected los s = 90 babies not expected to hatch (lost). There are 360 total number of baby hawks expected and there are 90 babies expected to be lost so 360 - 90 = 270 remaining baby hawks expected this breeding season. The answer is 270.
Q: Sarah wants to start a cupcake business and was approved for a business loan. The loan has 0% interest if she pays the entire amount back in 5 years, which she decides to do. If she put $10,000 down as a down payment and her monthly payments are $600.00, how much was her loan for (including the down payment)?
A:
To avoid interest she'll make payments for 5 years. There are 12 months in 1 year so that's 5 * 12 = 60 months. Each monthly payment is $600.00 and she'll pay that for 60 months for a total of 600 * 60 = $36,000. She also put $10,000 down as a down payment and her monthly payments came out to $36,000 so her loan was for 10000 + 36000 = $46,000. The answer is 46000.