Question

help with 36

Documents Display T t 301-301 D) (-2,-15) D) 17+ 409 17-409 E) -15 + 101-15-v101 E) Solve each question. Round your answer to the nearest hundredth, if necessary 32) Working alone, Natalie can pick forty 33) Working together, Beth and Mei can paint bushels of apples in nine hours. Willie can pick the same amount in ten hours. If a fence in 4.44 hours. Had she done it alone it would have taken Mei eight hours. they worked together how long would it How long would it take Beth to do it take them? A) 4.74 hours B) 3.63 hours C) 5.53 hours D) 4.43 hours E) 5.25 hours alone? A) 11 hours C) 9.98 hours D) 7.79 hours E) 7.82 hours B) 8.59 hours Ⅲ34) An alcohol solution was made by mising 35) How much soil with 35% clay do you need to add to 6 m) of soil with 45% clay 6 gal. of a 62% alcohol solution and 3 gal. of a 17% alcohol solution, concentration of the mixture? in order to make a soil with 39% clay? B) 9 m what is the C) 14 m A) 13 m D) 11mE) 15 m C) 52% A)60% D) 20% B)47% E) 54% , 36) 4 I1, oz of a sugar solution was mixed 37) A metallurgist needs to make 10 mg of an with 8 n oz of a 80% sugar solution to. make a 55% sugar solution. Find the percent conceniration of the firsd solution alloy containing 37% silver. She is going to melt and combine one metal that is 80% silver with another metal that is 24% silver How much of each should she use? B)6% E)5% C12% A) 8% D) 10% A) 2 mg of 89% silver, 8 rng of 24% silver B) 1 ng of 80% silver, 9 mg of 24% silver C) 3 nig of 80% silver, 7 mg of 24% silver D) 4 mg of 89% silver, 6 mg of 24% silver E) 6 ing of 89% silver, 4 ng of24% sher ,

Answer 1

Let, the percent of concentration os 1st solution is x % so, in 4 ft z of a sugar solution has 4 times x/100 = 4 x /100 ft z sugar in 8 ft z of a sugar solution has 80 % sugar so, amount of sugar = 8 times 80/100 = 6.4 ft z so, total sugar solution I e mixture = (8 + 4) = 12 ft ztotal sugar in mixture = (4 x/100 + 6.4) ft z so, percentage of sugar in mixture = 4 x/100 + 604/12 times 100 % so by given condition, 4 x/100 + 6.4/12 times 100 = 55 implies 4 x + 640/12 = 55 implies 4 x + 640 = 660 implies 4 x = 20 x = 5 so, concentration of first solution is 5 %