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juin [17]
3 years ago
5

Define two variables. Write a system of equations, and then solve.

Mathematics
2 answers:
abruzzese [7]3 years ago
7 0

Answer:

Step-by-step explanation:

Assume that the amount needed from the 5% acid is x and that the amount needed from the 6.5% acid is y.

We are given that:

The volume of the final solution is 200 ml

This means that:

x + y = 200

This can be rewritten as:

x = 200 - y .......> equation I

We are also given that:

The concentration of the final solution is 6%

This means that:

5%x + 6.5%y = 6% (x+y)

This can be rewritten as:

0.05 x + 0.065 y = 0.06 (x+y) ............> equation II

Substitute with equation I in equation II and solve for y as follows:

0.05 x + 0.065 y = 0.06 (x+y)

0.05 (200-y) + 0.065 y = 0.06 (200-y+y)

10 - 0.05 y + 0.065 y = 12

0.015y = 12-10 = 2

y = 2/0.015

y = 133.3334 ml

Substitute with the y in equation I to get the x as follows:

x = 200 - y

x = 200 - 133.3334

x = 66.6667 ml

Based on the above calculations:

The amount required from the 5% acid = x = 66.6667 ml

The amount required from the 6.5% acid = y = 133.3334 ml

juin [17]3 years ago
4 0
Heheifkekdurjejenrnejsufifiejr heyyyy
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