[Question]Cary starts working at Game Stop for $10/hour. She gets a 20% raise the first year, but the second year the company's profits decrease and her pay is cut to 75% of what it used to be. How much does Cary make now?
[Answer]First find the amount of Cary's raise by multiplying $10 by 20%: $10 * .2 = $2. Then add Cary's raise to her initial wage to find her wage after one year: $10 + $2 = $12. Then multiply that wage by 75% to find Cary's wage after her pay cut: $12 * .75 = $9. The answer is 9.
Q: Salem is 15 times the size of Leesburg. Leesburg has 58940 people. If 130000 people move out of Salem, and half of Salem's population is women, how many women live in Salem?
A: The number of inhabitants of Salem is 15 * 58940 = 884100 inhabitants. But some have moved, so there are 884100 - 130000 = 754100 inhabitants left. Of these, 754100 / 2 = 377050 are women. The answer is 377050.
Question: Danny helps his friends carpool to work. He has to drive 8 miles to the first friend's house, half that distance to the second friend's house, then 3 times the total distance driven so far to get to work. How many miles does Danny drive between the second friend's house and work?
Answer: First find the distance to the second friend's house by halving the distance to the first friend's house: 8 miles / 2 = 4 miles. Then add that amount to the distance to the first friend's house: 4 miles + 8 miles = 12 miles. Then triple that number to find the distance from the second friend's house to work: 12 miles * 3 = 36 miles. The answer is 36.
[Question]Tracy feeds each of her two dogs 1.5 cups of food per meal. She feeds her dogs thrice a day. How many pounds of food do her two dogs consume if 1 pound is equal to 2.25 cups?
[Answer]Each dog consumes 1.5 x 3 = 4.5 cups of food a day. In pounds, this is equal to 4.5 / 2.25 = 2. So both consume 2 x 2 = 4 pounds of food. The answer is 4.
Q: The lunchroom is full of students: 40% are girls and the remainder are boys. There are 2 monitors for every 15 students. There are 8 monitors. Every boy drinks, on average, 1 carton of milk, and every girl drinks, on average, 2 cartons of milk. How many total cartons of milk are consumed by the students in the lunchroom?
A: There is 1 monitor for every fifteen students because 30 / 2 = 15. There are 120 students because 8 x 15 = 120. 60% of the lunchroom is boys because 100 - 40 = 60. There are 72 boys because 120 x .6 = 72. There are 48 girls because 120 x .4 = 48. The boys drink 72 cartons of milk because 72 x 1 = 72. The girls drink 96 cartons of milk because 48 x 2 = 96. They drink 168 cartons of milk because 72 + 96 = 168. The answer is 168.
Question: Annie is trying to figure out whether it's safe to drive her truck. For every 3 degrees the temperature drops below 32 degrees, Annie's chances of skidding on ice increase 5%. If she goes into a skid, she has a 40% of regaining control. Otherwise, she'll have a serious accident. If the temperature is 8 degrees, what is the percentage chance of Annie getting into a serious accident if she drives?
Answer:
First find how many degrees below 32 the temperature is: 32 degrees - 8 degrees = 24 degrees. Then divide that amount by the number of degrees per 5% increase in skid risk to find how many 5% increases there are: 24 degrees / 3 degrees / 5% increase = 8 5% increases. Multiply the number of increases by 5% to find the total increase in skid risk: 8 * 5% = 40%. Now find the chance that Annie has a serious accident if she goes into a skid by subtracting the chance she regains control from 100%: 100% - 40% = 60%. Finally, multiply the chance of going into a skid by the chance of having a serious accident after a skid to find the total risk of a serious accident: 60% * 40% = 24%. The answer is 24.