Q: A bag has seven apples, eight oranges, and 15 mangoes. Luisa takes out two apples from the bag, and takes out twice as many oranges as apples as she took from the bag. She then takes out 2/3 the number of mangoes from the bag. What is the remaining number of fruits in the bag?
A: When Luisa takes out two apples from the bag, 7 apples - 2 apples = 5 apples remain in the bag. She also takes 2 apples * 2 oranges / apple = 4 oranges from the bag. The total number of oranges remaining in the bag is 8 oranges - 4 oranges = 4 oranges. Additionally, a total of 2 / 3 * 15 mangoes = 10 mangoes are also removed from the bag. The total number of mangoes remaining in the bag is 15 mangoes - 10 mangoes = 5 mangoes. The total number of fruits that Luisa left in the bag is 5 apples + 4 oranges + 5 mangoes = 14. The answer is 14.
Question: Wild Bill can shoot a pistol while riding his horse at full speed. His horse runs at 20 feet per second, and a bullet fired from his gun flies at a speed of 400 feet per second. But if he fires a gun while riding his horse, and the gun is aimed in the same direction that the horse is running, how much faster, in feet per second, is the bullet flying than if he fires the bullet in the opposite direction of what the horse was running?
Answer: If he fires a bullet in the same direction as the direction that the horse is running, the total speed of the bullet is the sum of the speed the bullet was propelled out of the gun plus the speed of the horse, for a combined speed of 400 + 20 = 420 feet per second. If he fires a bullet in the opposite direction as the direction in which the horse is running, then the total speed of the bullet is the speed the bullet was propelled out of the gun minus the speed of the horse, for a resulting speed of 400 - 20 = 380 feet per second. Thus, when firing the gun in the same direction as the horse is running, the bullet moves at 420 - 380 = 40 feet per second faster than when he fires the bullet in the opposite direction as what the horse is running. The answer is 40.
[Question]Sally sews 4 shirts on Monday, 3 shirts on Tuesday, and 2 shirts on Wednesday. Each shirt has 5 buttons. How many buttons does Sally need to sew all the shirts?
[Answer]Total number of shirts Sally sews is 4 + 3 + 2 = 9 shirts. The total number of buttons she needs is 9 x 5 = 45 buttons. The answer is 45.
Q: Ivar owns a stable. He recently has 3 horses and each horse consumes 5 liters of water for drinking and 2 liters for bathing per day. If he added 5 horses, how many liters of water does Ivar need for all the horses for 28 days?
A: The total horse he owns is 5 + 3 = 8. The total liters of water each horse consumes is 5 + 2 = 7. So, the total water all the horses consume every day is 7 x 8 = 56. And the total of liters of water they consume every week is 56 x 7 = 392. Therefore, the total liters of water they consume for the entire month is 392 x 4 = 1568. The answer is 1568.
Question: A group of hawks is called a kettle. It is breeding season for hawks. A group of ornithologists are tracking 6 kettles of hawks. Each kettle has an average of 15 pregnancies that yield 4 babies per batch. How many babies are expected this season if approximately 25% are lost?
Answer: Each kettle has 15 hawks that get pregnant and each one yields 4 babies per pregnancy so there are 15 * 4 = 60 babies expected per kettle. If 60 baby hawks are expected per kettle and the ornithologists are tracking 6 kettles total then there are 60 * 6 = 360 baby hawks expected across all six kettles this breeding season. If there 25% of eggs do not hatch, then we are looking for 25 (percent that do not make it) / 100 (total number of babies expected) = .25 (percentage converted to decimal form for the proportion of expected baby hawks to be lost). The total number of baby hawks expected equals 360 * .25 expected los s = 90 babies not expected to hatch (lost). There are 360 total number of baby hawks expected and there are 90 babies expected to be lost so 360 - 90 = 270 remaining baby hawks expected this breeding season. The answer is 270.
Q: Rob has some baseball cards, and a few are doubles. One third of Rob's cards are doubles, and Jess has 5 times as many doubles as Rob. If Jess has 40 doubles baseball cards, how many baseball cards does Rob have?
A:
Rob has 40 / 5 = 8 doubles baseball cards. Rob has 8 * 3 = 24 baseball cards. The answer is 24.