Question: Oleg is an event organizer. He is organizing an event with 80 guests where 40 of them are men, half the number of men are women, and the rest are children. If he added 10 children to the guest list, how many children will there be at the event?
Answer: There are 40 / 2 = 20 women at the event. Hence, there are a total of 40 + 20 = 60 men and women at the event. So, the total number of children at the event is 80 - 60 = 20. After Oleg added 10 children to the guest list, there are a total of 20 + 10 = 30 children. The answer is 30.
[Question]While preparing balloons for Eva's birthday party, her mom bought 50 balloons and 1800cm³ of helium. One balloon needs 50cm³ to float high enough to touch the ceiling, and she can fill any remaining balloon with ordinary air. If she used up all of the helium and inflated every balloon, how many more balloons are touching the ceiling than not?
[Answer]50cm³ will make one balloon touch the ceiling so 1800cm³ will make 1800 / 50 = 36 balloons touch the ceiling. There are 50 balloons in total so 50 - 36 = 14 balloons will not float since they were filled with ordinary air. There are 36 - 14 = 22 more balloons touching the ceiling than not. The answer is 22.
Q: Bob gets paid $5 an hour for the regular hours he works and $6 an hour for any overtime hours he works. All hours over 40 in a week are considered overtime. If Bob works 44 hours in the first week and 48 hours in the second week, how much did he make?
A: Bob has worked 40 hours / week x 2 weeks = 80 regular hours. Bob got paid 80 hours x $5 / hour = $400 for his regular hours. Bob worked 44 hours - 40 hours = 4 hours of overtime in the first week. Bob worked 48 hours - 40 hours = 8 hours of overtime in the second week. In total Bob worker 8 hours + 4 hours = 12 hours of overtime. Bob got paid $6 / hour x 12 hours = $72 for overtime. In 2 weeks Bob earned $400 + $72 = $472. The answer is 472.
Question: In a community of 50 families, 15 families own 2 dogs, 20 families own 1 dog, while the remaining families own 2 cats each. How many dogs and cats are there in all?
Answer: The 15 families own 15x2 = 30 dogs. The 20 families own 20x1 = 20 dogs. There are 50 - 15 - 20 = 15 cat owners. The remaining families own 15x2 = 30 cats. There are 30 + 20 + 30 = 80 dogs and cats in the village. The answer is 80.
[Question]A piece of wire 5 feet 4 inches long was divided into 4 equal parts. How long was each part in inches if 1 foot is equal to 12 inches?
[Answer]Five feet is equal to 5 feet x 12 inches / foot = 60 inches. So, the total length of the wire was 60 inches + 4 inches = 64 inches. Hence, each part is 64 inches / 4 parts = 16 inches / part. The answer is 16.
[Question]Joseph gave 23 cards to each of his 15 students and had 12 cards left. How many cards did Joseph have at first?
[Answer]
He gave 23 cards each to 15 students for a total of 23 * 15 = 345 cards. He has 12 cards left, so originally the number of cards was 345 + 12 = 357 cards. The answer is 357.