Tutors Answer Your Questions about Mixture Word Problems (FREE)
Question 805206: 1. Sixty ounces of a 40% gold alloy are mixed with 40 oz of a 10% gold alloy. Find the percent concentration of the resulting gold alloy.
2. How many pounds of chicken feed that is 50% corn must be mixed with 430 lb of a feed that is 80% corn to make a chicken feed that is 75% corn?
3. A chemist wants to make 54 mL of a 16% acid solution by mixing a 12% acid solution and an 18% acid solution. How many milliliters of each solution should the chemist use?
12% solution?
18% solution?
4.Two planes start from the same point and fly in opposite directions. The first plane is flying 45 mph slower than the second plane. In 2 h, the planes are 570 mi apart. Find the rate of each plane.
slower plane mph
faster plane mph
5.A long-distance runner started on a course at an average speed of 8 mph. Half an hour later, a second runner began the same course at an average speed of 9 mph. How long after the second runner starts will the second runner overtake the first runner?
6.An executive drove from home at an average speed of 45 mph to an airport where a helicopter was waiting. The executive boarded the helicopter and flew to the corporate offices at an average speed of 60 mph. The entire distance was 170 mi. The entire trip took 3 h. Find the distance from the airport to the corporate offices.
Click here to see answer by edjones(8007)  |
Question 805678: Please help me solve this: How much water should be added to 30 quarts of juice that is 70% juice to get a diluted mixture that is 60% juice?
My work: Let w = the amount of water needed
30+w= the total amount of the mixture
100w + 2100 = 60(30+w)
100w + 2100 = 1800 +60w
-60w + 100w + 2100 = 1800 + 60w + (-60w)
40w + 2100 =1800
-2100 + 40w + 2100 = 1800 + -2100
40w = -300
1/40(40w)=-300(1/40)
w = -7.5
How can you add negative amounts of water?
Click here to see answer by KMST(5328)  |
Question 805745: How much of a cream base must be mixed with 20g of 0.5% dexamethasone and 75g of 0.025% of dexamethasone and 30g of 0.05% dexamethasone to make 0.02% of dexamethasone cream ?
My own calculation : 20g x 0.5% = 0.1
75g x 0.25% = 0.1875
30g x 0.05% = 0.015
20g + 75g + 30g = 125
0.1 + 0.1875 + 0.015 = 0.3025/ 0.02% = 1512.5
1512.5 - 125 = 1387.5g
But the right answer 1375g Who solve it for me
Click here to see answer by josgarithmetic(39617) |
Question 805804: Ricardo filled his car with gas three times. He put in a total of 48 gallons. The first time he added 2/3 of a tank of gas, the second time he added 1/3 of a tank of gas, and the third time he added 3/5 of a tank of gas. How many gallons does the tank hold?
Click here to see answer by richwmiller(17219)  |
Question 805867: Mr. Levy borrowed money from two lenders. One lender charged 5.5 percent simple interest and the other 3.5 percent simple interest. Mr. Levy had to borrow $200 more at 5.5 percent than he did at 3.5 percent. If the total interest after the first year was $245, how much did he borrow at each rate?
Click here to see answer by nikolatesla1(6) |
Question 805869: A plane flies from Atlanta to Los Angeles against the wind in 5 hours. The return trip back to Atlanta with the wind takes only 4 hours. If the distance between Atlanta and Los Angeles is 3,200 kilometers, find the speed of the plane in still air and the speed of the wind.
Click here to see answer by richwmiller(17219)  |
Question 806038: Ann has $7000.00 invested in two accounts, part at 7% simple interest and part at 5.25% simple interest for a period of 1 year. How much did she invest at each rate if each account earned the same interest?
Click here to see answer by mananth(16946)  |
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