Q: Granger has five times as many spots as his brother, Cisco. But Cisco has 5 less than half as many spots as his cousin, Rover. If Rover has 46 spots, how many spots do Granger and Cisco have combined?
A: If Rover has 46 spots, then half as many spots as Rover has is 46 / 2 = 23 spots. If Cisco has 5 less than half as many spots as Rover has, then Cisco has 23 - 5 = 18 spots. If Granger has five times as many spots as Cisco, then Rover has 18 * 5 = 90 spots. Thus, the total combined number of spots that Rover and Cisco have is 90 + 18 = 108 spots. The answer is 108.
Question: In the beginning, Justine had 10 more rubber bands than Bailey but 2 fewer bands than Ylona. Bailey decided to give two bands each to Justine and Ylona so that he is left with only 8 rubber bands. How many rubber bands did Ylona have in the beginning?
Answer: Bailey gave 2 + 2 = 4 bands. So Bailey had 8 + 4 = 12 bands in the beginning. Justine had 12 + 10 = 22 bands in the beginning. Thus, Ylona had 22 + 2 = 24 bands in the beginning. The answer is 24.
[Question]20 kids in preschool are ready for a nap. 1/2 of the kids fall asleep within the first 5 minutes. Then half of the kids remaining fall asleep within another 5 minutes. How many kids are still awake?
[Answer]In a class with 20 kids, 1 / 2 of the students have already fallen asleep so 20 / 2 = 10 kids are already asleep. We start with 20 kids awake and 10 are already asleep so 20 - 10 = 10 kids are still awake. 1 / 2 of these 10 kids fall asleep next meaning there are 10 / 2 = 5 students still awake. The answer is 5.
Q: Laura loves to cook. One day she decided to make dinner for her family. She bought the necessary ingredients for this occasion: two salads, 2 kilograms of beef, 1 kilogram of potatoes, and two liters of juice. One salad costs $3, and one kilogram of beef is two times more expensive. One kilogram of potatoes costs one-third of the price of one salad, and one liter of juice is $1.5. How much did Laura need to pay for all the products she bought?
A: Laura bought two salads, for 2 * 3 = $6. One kilogram of beef is two times more expensive than one salad, which means it cost 2 * 3 = $6. So Laura spend 2 * 6 = $12 on beef. One kilogram of potatoes costs only 3 * 1 / 3 = $1, and that's how much Laura paid for potatoes. Laura bought two liters of juice, so she did spend on them 2 * 1.5 = $3. So in total Laura paid 6 + 12 + 1 + 3 = $22. The answer is 22.
Question: Walter fell from the eighth platform of some scaffolding and fell past David after falling 4 meters. If he fell for an additional three more times that depth before hitting the ground, and the platforms are evenly spaced out in height, what platform was David on?
Answer: Walter fell 4 meters and an additional three times that depth which is 3 * 4 = 12 meters. He fell for a total of 4 + 12 = 16 meters. The eighth platform is 16 meters high and the platforms are evenly spaced so each platform is 16 / 8 = 2 meters high. David was located 4 meters below the 16 meter level which is 16 - 4 = 12 meters high. Each platform is 2 meters high so 12 meters would mean the 12 / 2 = 6th platform. The answer is 6.
Q: In the engineering department, 70% of the students are men and 180 are women. How many men are there?
A:
The percentage for women is 100% - 70% = 30%. Since 180 represents 30%, then 180 / 30 = 6 students represent 1%. Hence, 6 x 70 = 420 students are men. The answer is 420.