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Lorico [155]
2 years ago
12

Two chemicals X and Y are to be mixed together to achieve a 16ml solution that is 7.4% water. Chemical x is 5% water and Y is 9%

water. How much Y should be used in the mix?
Mathematics
1 answer:
makvit [3.9K]2 years ago
8 0

Answer:

9.6 mL

Step-by-step explanation:

If x is mL of chemical X, and y is mL of chemical Y, then:

x + y = 16

0.05x + 0.09y = 0.074(16)

Solve the system of equations using substitution.

0.05(16 − y) + 0.09y = 0.074(16)

0.8 − 0.05y + 0.09y = 1.184

0.04y = 0.384

y = 9.6

You need 9.6 mL of Y.

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Answer:

$2353 at 12.5% and $7647 at 8.25%

Step-by-step explanation:

I'll say a is the amount he invested in one market, and b is the amount in the other.

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