Q: Michael and Thomas are selling their lego collections. They agree to split any money they earn. They sell them based on how many circles are on top. Each circle costs 1 cent. They earned $5 each after selling 100 single pieces, 45 double pieces, 50 triple pieces and a number of quadruple pieces. How many quadruple pieces did they sell?
A: They made $10 because 2 x 5 = 10. They made $1 off single pieces because 100 x .01 = 1. They made $.9 off double pieces because 45 x .02 = .9. They made $1.5 off triple pieces because 50 x .03 = 1.5. They earned $3.4 off the first three types because 1 + .9 + 1.5 = 3.4. They earned $6.6 off the quadruple pieces because 10 - 3.4 = 6.6. They sold 165 quadruple pieces because 6.6 / .04 = 165. The answer is 165.
Question: Claire has 400 flowers in her garden. One hundred twenty are tulips, and the rest are roses. Eighty of the roses are white, while the rest are red. Each red rose is worth $0.75. How much will Claire earn if she can sell 1/2 of the total number of red roses?
Answer: Claire has 400 - 120 = 280 roses in her garden. Thus, she has 280 - 80 = 200 red roses. One - half of the red roses is equal to 1 / 2 x 200 = 100. Therefore, Claire will earn $0.75 x 100 = $75 if she can sell 1 / 2 of the total number of red roses. The answer is 75.
[Question]Ahmed and Emily are having a contest to see who can get the best grade in the class. There have been 9 assignments and Ahmed has a 91 in the class. Emily has a 92. The final assignment is worth the same amount as all the other assignments. Emily got a 90 on the final assignment. What is the minimum grade Ahmed needs to get to beat Emily if all grades are whole numbers?
[Answer]Ahmed has scored 819 total points in the class thus far because 9 x 91 = 819. Emily had scored 828 total points before the final assignments because 9 x 92 = 828. She scored 918 total points after the final assignment because 828 + 90 = 918. Ahmed needs to score a 99 to tie Emily for the semester because 918 - 819 = 99. Ahmed needs to score a 100 to beat Emily for the semester because 99 + 1 = 100. The answer is 100.
Q: Paul made two bank transfers of $90 and $60 respectively. A service charge of 2% was added to each transaction. If the second transaction was reversed (without the service charge), what is his account balance now if it was $400 before he made any of the transfers?
A: 2% of $90 is (2 / 100) * $90 = $1.8. 2% of $60 is (2 / 100) * $60 = $1.2. The second transaction was reversed without the service charge so only a total of $90 + $1.8 + $1.2 = $93 was deducted from his account. He will have a balance of $400 - $93 = $307. The answer is 307.
Question: Marcel goes to the store with Dale to buy groceries for cooking dinner. Marcel buys 10 ears of corn, and Dale buys half that amount. Dale buys 8 potatoes and Marcel buys some, too. If they check out together and end up buying 27 vegetables, how many potatoes did Marcel buy?
Answer: Marcel bought 10 ears of corn and Dale bought 1 / 2 what Marcel did, 10 x 1 / 2 = 10 / 2 = 5 ears of corn that Dale bought. Together, Marcel and Dale bought 10 + 5 = 15 ears of corn, or 15 vegetables. They end up buying 27 vegetables total, and from those 27, 15 of them were corn. The rest of the vegetables are potatoes, 27 vegetables - 15 ears of corn = 12 potatoes. Dale bought 8 potatoes, so Marcel bought 12 - 8 = 4 potatoes. The answer is 4.
Q: The sky currently has 4 times as many cirrus clouds as cumulus clouds, and 12 times as many cumulus clouds as cumulonimbus clouds. If the sky currently has 3 cumulonimbus clouds, how many cirrus clouds are in the sky at this moment?
A:
The sky has 3 * 12 = 36 cumulus clouds. The sky has 4 * 36 = 144 cirrus clouds. The answer is 144.