Rsm question need a pharmacist has a 13 % alcohol solution and another 18 % alcohol solution. how much of each must he use to make 50 grams of a 14 % alcohol solution?

40 grams of 13% alcohol solution and 10 grams of 18% alcohol solution.

Step-by-step explanation:

13%(x) + 18%(50-x) = 14%*50g   Multiply them all

0.13x + (9-0.18x) = 7

0.13x-0.18x + 9 = 7   Simplify the equation and subtract 0.13x from 0.18x

9-0.05x = 7   Add 0.05x to each side

9 = 7+0.05x   Subtract 7 from both sides

0.05x = 2   Multiply each side by 100

5x = 200   Divide both sides by 5

x = 40

50 - 40 = 10

40 grams and 10 grams

Your welcome

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step-by-step explanation:

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.