Q: Brittany got a 78 on her first test. After her second test, her average rose to an 81. What grade did she get on her second test?
A: First multiply her average grade by the number of tests she took to find the total number of points she scored: 81 points * 2 = 162 points. Then subtract the number of points she scored on her first exam to find how many points she scored on her second exam: 162 points - 78 points = 84 points. The answer is 84.
Question: Owen bought 12 boxes of face masks that cost $9 per box. Each box has 50 pieces of masks. He repacked 6 of these boxes and sold them for $5 per 25 pieces. He sold the remaining 300 face masks in baggies at the rate of 10 pieces of mask for $3. How much profit did he make?
Answer: Owen bought 12 boxes for a total of $9 / box x 12 boxes = $108. Six boxes contains 6 boxes x 50 masks / box = 300 face masks. Owen made 300 masks / 25 masks / repack = 12 repacks. So, his revenue for selling those repacked face masks is $5 x 12 repacks = $60. There are 300 masks / 10 masks / baggy = 30 baggies face masks. So, his revenue for that is $3 / baggy x 30 baggies = $90. Hence, his total revenue for all the face masks is $60 + $90 = $150. This gives him a profit of $150 - $108 = $42. The answer is 42.
[Question]Heather helps her neighbour pick weeds out of her garden. She gets paid 5 cents for every weed she picks. On average, how many seconds can she take to pick a weed if she wants to earn $10 an hour?
[Answer]In an hour, she needs to earn $10 * 100 cents / $1 = 1000 cents. In an hour, she must pick 1000 cents / 5 cents = 200 weeds. There are 1hr * (60 minutes / 1 hr) = 60 minutes in an hour. There are 60 minutes * (60 seconds / 1 minute) = 3600 seconds in an hour. She has 3600 seconds / 200 = 18 seconds to pick each weed. The answer is 18.
Q: In four years, Annika will be three times as old as Hans. If Hans is now 8 years old, how old is Annika now?
A: In four years, Hans will be 8 + 4 = 12 years old. Then Annika will be 12 * 3 = 36 years old. So Annika right now is 36 - 4 = 32 years old. The answer is 32.
Question: Jeff had 300 pencils and donated 30% of them. Vicki had twice as many pencils as Jeff and donated 3/4 of his pencils. How many pencils are there remaining altogether?
Answer: Jeff donated 30 / 100 * 300 = 90 pencils. He remained with 300 - 90 = 210 pencils. Vicki had twice as many pencils as Jeff, meaning he had 2 * 300 = 600 pencils. When Vicki donated 3 / 4 of his pencils, he gave away 3 / 4 * 600 = 450 pencils. Vicki remained with 600 - 450 = 150 pencils. Together, Jeff and Vicki remained with 150 + 210 = 360 pencils. The answer is 360.
Q: There are 180 school days in the academic year. Aliyah packs a lunch half the time. Becky packs her lunch half as much as Aliyah. How many days a year does Becky pack her lunch?
A:
Aliyah packs her lunch ½ the time, so in 180 school days / 2 = she packs her lunch 90 times. Becky packs her lunch ½ as much as Aliyah, so 90 times / 2 = 45 times a year. The answer is 45.