[Question]Three baskets A, B and C contain different numbers of differently colored marbles. Basket A contains 4 red marbles and 2 yellow marbles. Basket B contains 6 green marbles and 1 yellow marble. Basket C contains 3 white marbles and 9 yellow marbles. What is the difference between the number of each color of marble in the basket that has the greatest difference?
[Answer]In basket A the number difference between differently colored marbles is 4 - 2 = 2. In basket B the difference is 6 - 1 = 5. In basket C the difference is 9 - 3 = 6. Comparing 2, 5 and 6 shows that 6 is the greatest difference. The answer is 6.
Q: There are 15 cats in a shelter. One-third were adopted, and were replaced with twice the amount that were adopted. Later on, twice as many dogs showed up as there are cats. How many total animals are there in the shelter?
A: 15 / 3 = 5 cats were adopted out of 15. There were 15 - 5 = 10 cats left. 5 * 2 = 10 more cats were added. This makes 10 + 10 = 20 cats in the shelter. 20 * 2 = 40 dogs came into the shelter. There are now 20 + 40 = 60 animals in the shelter. The answer is 60.
Question: Jake trips over his dog 40% percent of mornings. 25% of the time he trips, he drops his coffee. What percentage of mornings does he NOT drop his coffee?
Answer: First multiply the chance of each event happening to find the chance they both happen: 40% * 25% = 10%. Then subtract that percentage from 100% to find the percentage of the time Jake doesn't drop his coffee: 100% - 10% = 90%. The answer is 90.
[Question]Lucy has $65 in the bank. She made a $15 deposit and then followed by a $4 withdrawal. What is Lucy's bank balance?
[Answer]Lucy had $65 + $15 = $80 after making a deposit. So, her bank balance is $80 - $4 = $76 after making a withdrawal. The answer is 76.
Q: Pat’s computer password is made up of several kinds of alphanumeric and symbol characters for security. He uses a string of eight random lowercase letters, a string half that length of alternating upper case letters and numbers, and one symbol on each end of the password. How many characters in all is Pat‘s computer password?
A: The second string of characters is half as long as the first string, so it is 8 / 2 = 4 characters long. The password has one symbol on each end, so it has 1 * 2 = 2 symbol characters. In all, Pat’s computer password is 8 + 4 + 2 = 14 characters long. The answer is 14.
Question: Allyn is a golfer. At the starting tee, he hit the golf ball and it traveled 180 yards straight toward the hole. On his second turn, he hit the ball again straight toward the hole and it traveled half as far as it did on his first turn, but the ball landed 20 yards beyond the hole. On his third swing, he hit the ball onto the green and it rolled into the hole. What is the distance, in yards, from the starting tee to the hole?
Answer:
On his second turn, the ball traveled 180 / 2 = 90 yards. After two turns, the ball had traveled 180 + 90 = 270 yards. Since, after the second turn, the ball was 20 yards past the hole, this means the distance from the starting tee to the hole was 270 - 20 = 250 yards. The answer is 250.