Question: A cleaning company produces two sanitizer sprays. One spray kills 50% of germs, and another spray kills 25% of germs. However, 5% of the germs they kill are the same ones. What percentage of germs would be left after using both sanitizer sprays together?
Answer: After the first spray kills 50% of germs, there will be 100 - 50 = 50% left. The second spray kills 25%, but 5% have already been killed by the 50% spray, so it kills 25 - 5 = 20%. After the second spray kills 20% of the remaining germs, there will be 50 - 20 = 30% left. The answer is 30.
[Question]Four classmates were comparing their ages based on their birth month. They found out that Jolyn is 2 months older than Therese while Therese is 5 months older than Aivo. Then, Leon is 2 months older than Aivo. How much older in months is Jolyn than Leon?
[Answer]Jolyn is 2 + 5 = 7 months older than Aivo. Since Leon is 2 months older than Aivo, then Jolyn is 7 - 2 = 5 months older than Leon. The answer is 5.
Q: The GooGoo brand of clothing manufactures two types of shirts, one with 3 buttons and the other with 5 buttons. A large department store ordered GooGoo to manufacture 200 of each type of shirt. How many buttons will the GooGoo brand use to manufacturer all of the shirts for this order?
A: To make 200 of the first type of shirt, they will need 200 * 3 = 600 buttons. To make 200 of the second type of shirt, they will need 200 * 5 = 1000 buttons. To manufacture 200 each of both types of shirts, they will need to use 600 + 1000 = 1600 buttons. The answer is 1600.
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.
[Question]In a card game, you are awarded 10 points if you win one round. While playing, Jane ends up with 60 points. If she lost 20 points, then how many rounds did she play?
[Answer]If Jane got 60 points and lost 20 points then the total number of points she accumulated in all the rounds was 60 + 20 = 80 points. If each round is awarded 10 points, then the number of rounds will be 80 / 10 = 8 rounds. The answer is 8.
[Question]A convenience store sells 180 gallons of soda a week. They buy syrup boxes that can make 30 gallons of soda, and each box costs $40. How much do they pay for syrup a week?
[Answer]
They need to buy 180 / 30 = 6 boxes. So the cost is 6 * 40 = $240. The answer is 240.