Q: Mara has 12 bags with 2 marbles in each bag. Markus has 2 bags with 13 marbles in each bag. How many more marbles does Markus have?
A: Mara has 2 x 12 = 24 marbles. Markus has 2 x 13 = 26 marbles. Markus has 26 - 24 = 2 more marbles than Mara. The answer is 2.
Question: On Tuesday, Liza had $800 in her checking account. On Wednesday, she paid her rent, $450. On Thursday, she deposited her $1500 paycheck. On Friday, she paid her electricity and internet bills which were $117 and $100, respectively. Then on Saturday, she paid her phone bill, $70. How much money is left in Liza's account?
Answer: On Wednesday, Liza had $800 - $450 = $350 left in her account. After depositing on Thursday, she had $350 + $1500 = $1850 in her account. On Friday, she paid a total of $117 + $100 = $217 for her electricity and internet bills. So, $1850 - $217 = $1633 was left on her account on Friday. After paying her phone bill, Liza has $1633 - $70 = $1563 left in her account. The answer is 1563.
[Question]40% of the mosquitos in Jack's area are infected with malaria. 20% of the mosquitos are infected with Zika virus. Without a vaccine, the chances of getting infected with either virus after getting bitten by an infected mosquito are 50%. Jack is taking an experimental malaria vaccine that reduces the chances of getting infected after getting bitten by 50%. If Jack gets bitten by a random mosquito, what is the percentage chance he catches either Zika virus or malaria?
[Answer]First find Jack's chances of getting bitten by an infected mosquito: 40% + 20% = 60%. The chance of being infected by a mosquito with after being bitten: 60% * 50% = 30%. Then find the chances of getting ill after receiving the vaccine: 30% * 50% = 15%. The answer is 15.
Q: Hortense loves daisies and sunflowers. She planted 25 daisy seeds and 25 sunflower seeds in her flower bed. If 60% of the daisy seeds germinate, and 80% of the sunflower seeds germinate, and 80% of the resulting plants produce flowers, how many plants will she grow that produce flowers?
A: At a germination rate of 60%, 25 seeds will yield 60 / 100 * 25 = 15 plants. At a germination rate of 80%, 25 seeds will yield 80 / 100 * 25 = 20 plants. In total, she will have grown 15 + 20 = 35 plants. If 80% of the plants developed flowers, then she will have grown (80 / 100) * 35 = 28 plants that produce flowers. The answer is 28.
Question: Bill is trying to count the toddlers at his daycare, but they keep running around. He double-counts 8 toddlers and misses 3 who are hiding. If Bill thinks he counted 26 toddlers, how many are there really?
Answer: First subtract the 8 toddlers Bill double - counted from his count: 26 toddlers - 8 toddlers = 18 toddlers. Then add the 3 toddlers he missed to find the real count: 18 toddlers + 3 toddlers = 21 toddlers. The answer is 21.
Q: A psychiatrist has 4 patients that need 25 sessions in total. One of the patients needs 6 sessions. Another patient needs 5 more than that. How many sessions would the remaining patients need?
A:
The second patient needs 6 + 5 = 11 sessions. The first two patients need 6 + 11 = 17 sessions total. 25 - 17 = 8 sessions. The answer is 8.