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Tresset [83]
2 years ago
8

a lab technician wants to make 50ml of a 20% alcohol solution. she has solutions that are 30% and 15% alcohol. how much of each

must she use?
Mathematics
1 answer:
Vladimir [108]2 years ago
6 0
Make 2 equations:-
let x be volume of 15% and y the volume of the 30% solution

x + y = 50
0.15x + 0.30y =  50*0.2 = 10

from first equation y = 50 - x, so:-

0.15x + 0.30(50 - x) = 10

0.15x + 15 - 0.30x  = 10

5 =  0.15x

x = 5 / 0.15 = 33.33 mls

and y = 50 - 33.33 = 16.67 mls

Answer: she needs 33.33 mls of the 15% solution ans 16.67 of the 30%.
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Answer:

Joe is 14.

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Step-by-step explanation:

Use the variables and information from the question to make equations.

If Joe's age is half Martha's:

(1/2)m = j     OR     2j = m

If their ages combined is 42:

m + j = 42

We can substitute the equation m=2j into equation m + j = 42, replacing "m".

m + j = 42    Substitute m for 2j

2j + j = 42     Combine like terms, terms with same varables

3j = 42     Divide both sides by 3 to isolate j

j = 14       Joe's age

Since j = 14, we can substitute it into equation m=2j to find "m".

m = 2j       Substitute j for 14

m = 2(14)     Simplify

m = 28       Martha's age

Therefore Joe is 14 and Martha is 28.

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3 years ago
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I hope this helps you



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