Q: The New York City Council bought 200 streetlights to modernize its squares. But they don't have enough squares to use all the streetlights bought. Knowing that there are 15 squares in New York and that each park will have 12 new streetlights bought by the city council, how many unused streetlights will remain?
A: So the total number of streetlights that will be used is 15 squares * 12 streetlights / square = 180 streetlights. There will be 200 streetlights - 180 streetlights = 20 streetlights unused. The answer is 20.
Question: The sum of the ages of two friends, Alma and Melina, is twice the total number of points Alma scored in a test. If Melina is three times as old as Alma, and she is 60, calculate Alma's score in the test?
Answer: If Melina is three times as old as Alma, and she is 60, Alma is 60 / 3 = 20 years old. The sum of their ages is 60 + 20 = 80 years. Since the sum of Alma and Melina's age is twice the total number of points Alma scored in a test, Alma's score in the test was 80 / 2 = 40 points. The answer is 40.
[Question]Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?
[Answer]Let her previous monthly income be p. The cost of her rent and utilities was 40% of p which is (40 / 100) * p = 2p / 5. Her income was increased by $600 so it is now p + $600. The cost of her rent and utilities now amount to 25% of (p + $600) which is (25 / 100) * (p + $600) = (p + $600) / 4. Equating both expressions for cost of rent and utilities: 2p / 5 = (p + $600) / 4. Multiplying both sides of the equation by 20 gives 8p = 5p + $3000. Subtracting 5p from both sides gives: 3p = $3000. Dividing both sides by 3 gives p = $1000. The answer is 1000.
Q: James creates a media empire. He creates a movie for $2000. Each DVD cost $6 to make. He sells it for 2.5 times that much. He sells 500 movies a day for 5 days a week. How much profit does he make in 20 weeks?
A: He sold each DVD for 6 * 2.5 = $15. So he makes a profit of 15 - 6 = $9. So each day he makes a profit of 9 * 500 = $4500. So he makes 4500 * 5 = $22,500. He makes 22,500 * 20 = $450,000. Then after the cost of creating the movie he has a profit of 450,000 - 2000 = $448,000. The answer is 448000.
Question: Tim drops a ball off the roof of a 96-foot tall building. The ball bounces to half the height from which it fell on each bounce. How high will it bounce on the fifth bounce?
Answer: On the first bounce, it will reach a height of 96 / 2 = 48 feet. On the second bounce, it will reach a height of 48 / 2 = 24 feet. On the third bounce, it will reach a height of 24 / 2 = 12 feet. On the fourth bounce, it will reach a height of 12 / 2 = 6 feet. On the fifth bounce, it will reach a height of 6 / 2 = 3 feet. The answer is 3.
Q: One of Robi's new year's resolutions is to start saving. He started to save $2 in January. This is followed by $4 in February and $8 in March. If he continues this saving pattern, how much will be his total savings after 6 months?
A:
Robi will save $8 x 2 = $16 in April. He will save $16 x 2 = $32 in May. He will save $32 x 2 = $64 in June. Hence, his total savings after 6 months will be $2 + $4 + $8 + $16 + $32 + $64 = $126. The answer is 126.