[Question]Isabel has $204 in her piggy bank. She spent half the amount and bought a toy. She then spent half of the remaining money and bought her brother a book. How much money, in dollars, was left over?
[Answer]After buying the toy, Isabel has 204 / 2 = 102 dollars left. Isabel has 102 / 2 = 51 dollars left. The answer is 51.
Q: Ellen is painting flowers on a vase. It takes her 5 minutes to paint a lily, 7 minutes to paint a rose, 3 minutes to paint an orchid, and 2 minutes to paint a vine. How long will it take her to paint 17 lilies, 10 roses, 6 orchids and 20 vines?
A: First find the total time Ellen spends painting lilies: 5 minutes / lily * 17 lilies = 85 minutes. Then find the total time Ellen spends painting roses: 7 minutes / lily * 10 roses = 70 minutes. Then find the total time Ellen spends painting orchids: 3 minutes / orchid * 6 orchids = 18 minutes. Then find the total time Ellen spends painting vines: 2 minutes / lily * 20 vines = 40 minutes. Then add the amount of time Ellen spends on each type of flower to find the total time: 85 minutes + 70 minutes + 18 minutes + 40 minutes = 213 minutes. The answer is 213.
Question: A YouTube video got 3000 likes and 100 more than half as many dislikes. If the video gets 1000 more dislikes and 0 more likes how many dislikes does the video have?
Answer: half as many as 3000 is 3000 / 2 = 1500 dislikes. 100 more than 1500 is 1500 + 100 = 1600 dislikes. 1000 more dislikes is 1600 + 1000 = 2600 dislikes. The answer is 2600.
[Question]In Johnstown, the population is 80 and every single person drives by themselves to work. Each car on a road pollutes 10 pounds of carbon a year. A single bus pollutes 100 pounds of carbon a year. A bus can hold 40 people. The town decides to start running a bus and 25% of the people who used to drive now take the bus. How many fewer pounds of carbon are now emitted per year?
[Answer]The town used to emit 800 pounds of carbon a year because 80 x 10 = 800. 20 now take the bus because 80 x .25 = 20. 60 people still drive because 80 - 20 = 60. Those 60 people create 600 pounds of carbon because 60 x 10 = 600. The town now emits 700 pounds of carbon because 100 + 600 = 700. The town emits 100 fewer pounds of carbon now because 800 - 700 = 100. The answer is 100.
Q: There are 19 marbles in a bowl, 5 of which are yellow. The remainder are split into blue marbles and red marbles in the ratio 3:4 respectively. How many more red marbles than yellow marbles are there?
A: 5 out of 19 marbles are yellow so the remainder which is 19 - 5 = 14 marbles are blue and red. 14 marbles are split into blue and red in the ratio 3:4 so each "share" is 14 / (3 + 4) = 2 marbles. There are 4 "shares" of red marbles which totals to 4 * 2 = 8 red marbles. There are 8 - 5 = 3 more red marbles than yellow marbles. The answer is 3.
Question: Cadence has worked for her new company five months longer than she worked for her old company. If she worked at her old company for 3 years earning $5000 per month, and she's now earning 20% more in the new company, calculate the total amount of money she's earned in both companies in the period she's worked for them?
Answer:
In her old company, if she worked for three years, the total number of months she was paid for is 3 years * 12, which is the number of months in a year = 36 months. If each month she was paid $5000, her total earnings in the old company were $5000 * 36 = $180000. In her new company, she is paid 20% more, which is 20 / 100 * $5000 = $1000 per month more than what she was paid at the old company. In total, she earns $5000 + $1000 = $6000 per month in her new company. Since she's worked five months more in the new company than the old company, she has worked for 36 + 5 = 41 months in the new company. The total amount she's earned in the new company is $6000 * 41 = $246000. The combined total for both companies is $246000 + $180000 = $426000. The answer is 426000.