Question: A young girl pours 23 blue beads and 16 yellow beads into a bowl. She divides the total into 3 equal parts, removes some beads from each part, and doubles the rest to have 6 beads in each part now. How many beads were removed from each part?
Answer: There are 23 + 16 = 39 beads in the bowl. Dividing them into 3 equal parts give 39 / 3 = 13 beads each. Before doubling the number of beads, she had 6 / 2 = 3 beads left in each part. Therefore she had removed 13 - 3 = 10 beads from each part. The answer is 10.
[Question]A laboratory has 22 beakers of liquid in a fume hood, and 8 of the beakers have copper ions in them. Adding three drops of a solution will turn the liquid in a beaker blue if there are copper ions present. If the beakers are tested one by one for copper ions and 45 drops are used before all 8 beakers with copper ions are found, how many beakers without copper ions were tested?
[Answer]There were 45 / 3 = 15 beakers tested to find all the beakers with copper ions. Thus, 15 - 8 = 7 beakers without copper ions were tested. The answer is 7.
Q: Mira jogs every morning. She jogs 5 miles per hour. If she jogs for 2 hours every morning, how many miles can she jog for five days?
A: Mira jogs 5 x 2 = 10 miles per day. Therefore she can jog 10 x 5 = 50 miles for 5 days. The answer is 50.
Question: In a block of flats, there are 120 apartments. 85% of them have at least 1 resident, while 60% of the apartments have at least two residents. How many apartments have only one resident?
Answer: At least one person lives in 85 / 100 * 120 = 102 apartments. At least two persons live in 60 / 100 * 120 = 72 apartments. So in every of the 102 - 72 = 30 apartments, only one person is living. The answer is 30.
[Question]Tony has to run several errands in a day. He needs to drive 10 miles to get groceries, 15 miles to get a haircut and 5 miles to go to a doctor's appointment. How many miles will Tony have driven when he is halfway through driving around for his errands?
[Answer]First, we need to find the total number of miles Tony will be driving by adding 10 + 15 + 5 = 30 miles in total. To determine the halfway point, we simply divide the total number of miles by 2, performing 30 / 2 = 15 miles driven when Tony is halfway done. The answer is 15.
[Question]Artemis is making tea for a party. She knows her mom drinks an 8-ounce cup of tea and uses one ounce of tea. She will use this same ratio for the party. The party has 12 people there and each of them wants a 6-ounce cup of tea. How many ounces of tea does she need?
[Answer]
She is making 72 ounces of water because 12 x 6 = 72. She needs 9 ounces of tea because 72 / 8 = 9. The answer is 9.