[Question]Joey studies for his SAT exams 2 hours per night 5 nights a week. On the weekends, he studies 3 hours a day. If his SAT exam is 6 weeks away, how much time will Joey spend studying?
[Answer]Joey studies 2 hours a night 5 nights a week so that's 2 * 5 = 10 hours. He studies 3 hours a day on the weekends so that's 3 * 2 = 6 hours. In one week, Joey studies 10 + 6 = 16 hours. He has 6 weeks till his exams and he studies for 16 hours a week so that's 6 * 16 = 96 hours of studying. The answer is 96.
Q: Christine makes money by commission rate. She gets a 12% commission on all items she sells. This month, she sold $24000 worth of items. Sixty percent of all her earning will be allocated to her personal needs and the rest will be saved. How much did she save this month?
A: This month, Christine earned a commission of 12 / 100 x $24000 = $2880. She allocated 60 / 100 x $2880 = $1728 on her personal needs. Therefore, she saved $2880 - $1728 = $1152 this month. The answer is 1152.
Question: The distance across a country is 8205 kilometers. Amelia started at one end and drove 907 kilometers on Monday and 582 kilometers on Tuesday. How many kilometers does Amelia still have to drive to make it across the country?
Answer: Distance driven = 907 + 582 = 1489 km. Distance remaining = 8205 - 1489 = 6716 km. Amelia still has 6716 kilometers to drive. The answer is 6716.
[Question]Henry has 30 more lollipops than Alison does. With 60 lollipops, Alisson has half the number of lollipops Diane has. If they combine the lollipops and eat 45 lollipops each day, calculate the total number of days it will take for them to finish the lollipops.
[Answer]Since Henry has 30 more lollipops than Alison, he has 60 + 30 = 90 lollipops. Together, Alison and Henry have 90 + 60 = 150 lollipops. Alison has half the number of lollipops that Diane has, meaning Diane has 2 * 60 = 120 lollipops. Altogether, the three have 120 + 150 = 270 lollipops. Since they eat 45 lollipops each day, they'll take 270 / 45 = 6 days to finish all the lollipops. The answer is 6.
Q: Yolanda scored 345 points over the entire season. There were 15 games over the season. She averaged 4 free throws (worth one point), and 5 two-point baskets per game. How many three-point baskets did she average a game?
A: She averaged 23 points per game because 345 / 15 = 23. She averaged 10 points a game off two - point baskets because 5 x 2 = 10. She averaged 4 points a game from free throws because 4 x 1 = 4. She averaged 14 points a game off non - three point baskets because 10 + 4 = 14. She averaged 9 points from three - pointers because 23 - 14 = 9. She averaged 3 three - pointers a game because 9 / 3 = 3. The answer is 3.
Question: Melody planted sunflowers from two different seed packets. She found that the sunflowers from Packet A were 20% taller than the sunflowers from Packet B. If the sunflowers from Packet A were 192 inches tall, how tall were the sunflowers from Packet B?
Answer:
The height of the sunflowers from Packet A is the same as the height of the sunflowers from Packet B + 20%. If Y represents the height of the sunflowers from Packet B, Y + 0.20Y = the height of sunflowers from Packet A. We know the height of the sunflowers from Packet A is 192 inches = Y + 0.20Y or 1.2Y. To figure out Y, we would divide both sides of the equation by 1.2, like this: 192 / 1.2 = 1.2Y / 1.2 or 160 = Y. The answer is 160.