Q: At a middle school, 20% of the students are in the band. If 168 students are in the band, how many students go to the middle school?
A: Let X be the number of students in the middle school. We know that X * 20% = 168 students are in the band. So there are X = 168 / 20% = 840 students in the middle school. The answer is 840.
Question: Salaria is growing oranges this summer. She bought two types of trees. She has 50% of tree A and 50% of tree B. Tree A gives her 10 oranges a month and 60% are good. Tree B gives her 15 oranges and 1/3 are good. If she gets 55 good oranges per month, how many total trees does she have?
Answer: Each tree A gives her six good oranges a month 10 x .6 = 6. Each tree B gives her five good oranges a month because 15 x (1 / 3) = 5. On average, a tree gives her 5.5 oranges a month because .5(6) + .5(5) = 5.5. She has ten total trees because 55 / 5.5 = 10. The answer is 10.
[Question]Gnuff charges a flat rate of $20 per tutoring session plus $7 per minute. The total amount paid for Gnuff for tutoring for one session is $146. How many minutes did Gnuff tutor for?
[Answer]First find the amount paid just for the per - minute fee, which is $146 - $20 = $126. Then divide that number by the per - minute rate to find the number of minutes: $126 / $7 per minute = 18 minutes. The answer is 18.
Q: Quinten sees three buildings downtown and decides to estimate their heights. He knows from a book on local buildings that the one in the middle is 100 feet tall. The one on the left looks like it is 80% of the height of the middle one. The one on the right looks 20 feet shorter than if the building on the left and middle were stacked on top of each other. How tall does Quinten estimate their total height to be?
A: He estimates the building on the left is 80 feet tall because 100 x .8 = 80. The combined height of the left and middle is 180 because 100 + 80 = 180. The building on the right he estimates as 160 feet because 180 - 20 = 160. He estimates the combined height as 340 feet because 80 + 100 + 160 = 340. The answer is 340.
Question: Ben has $2000 for his business operations costs. He orders goods from his supplier and writes them a cheque for $600. His debtor pays him $800 from the purchases they had made on credit. Mr. Ben then decides to do equipment maintenance and spends $1200 on the whole operation. How much money is Mr. Ben remaining with?
Answer: When Mr. Ben writes the cheque, he remains with $2000 - $600 = $1400. His debtor pays him $800, increasing his operation capital to $1400 + $800 = $2200. He spends $1200, remaining $2200 - $1200 = $1000 for business operations cost after maintenance. The answer is 1000.
Q: Todd bought a pair of jeans that cost $125 at full price. The jeans were on sale for 20% off. He then applied a coupon that took off $10. He paid with a store credit card that gave him another 10% off the remaining amount. How many dollars did he save on the original price of the jeans?
A:
The jeans were on sale for 20% = 20 / 100 = 1 / 5 off, so the sale took 125 / 5 = $25 off. Thus, after the sale, the jeans cost $125 - $25 = $100. Todd’s coupon lowered the price to $100 - $10 = $90. The store credit card gave him 10% = 10 / 100 = 1 / 10 off, so the card took $90 / 10 = $9 off. Thus, he paid $90 - $9 = $81 for the jeans. Therefore, Todd saved $125 - $81 = $44 on the original price of the jeans. The answer is 44.