Achemist needs 180 milliliters of a 62% solution but she only has 51% and 69% solutions available. calculate how many milliliters of each should be mixed to get the desired result. how many milliliters of the 51% solution should she use?

70 milliliters

Step-by-step explanation:

Let x be the 51% solution and y be the 69% solutions,

Since, the solution after combining them = 180 milliliters

⇒ x + y = 180 (1),

Also, final solution is of 62%,

That is,

51% of x + 69% of y = 62% of 180

0.51x + 0.69y = 0.62 × 180

⇒ 0.51x + 0.69y = 111.6,

⇒ 51x + 69y = 11160 (2),

Equation (2) - 69 × equation (1),

We get,

-18x = -1260

⇒ x = 70

Hence, 70 milliliters of the 51% solution should she use.

1 and 0

step-by-step explanation: