SOLUTION: Mrs. Huang operates a soybean fam. She buys many supplies in bulk. Often the bulk products need to be custom mixed before Mrs. Huang can use them. To apply herbicide to a large

Question 263829: Mrs. Huang operates a soybean fam. She buys many supplies in bulk. Often the bulk products need to be custom mixed before Mrs. Huang can use them. To apply herbicide to a large field she must mix a solution of 67% herbicide with a solution of 46% herbicide to form 42 liters of a 55% solution. How much of the 67% solution must she use?

a. 23L b. 18L c. 34L d. 35L

Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=amount of 67% solution needed
Then 42-x=amount of 46% solution needed
Now we know that the pure herbicide in the 67% solution (0.67x) plus the amount of pure herbicide in the 46% solution (0.46(42-x)) has to equal the amount of pure herbicide in the final mixture (0.55*42). So, our equation to solve is:
0.67x+0.46(42-x)=0.55*42 simplify
0.67x+19.32-0.46x=23.1 subtract 19.32 from each side
0.67x+19-32-19.32-0.46x=23.1-19.32 collect like terms
0.21x=3.78 divide each side by 0.21
x=18 liters------amount of 67% solution needed
Hope this helps---ptaylor
RELATED QUESTIONS
I could really use some help on this problem, please try to help me solve this problem,... (answered by mananth)

Kevin operates a soybean farm. He buys many supplies in the bulk. Often the bulk products (answered by josgarithmetic)

Mr. X operates a soybean farm. To keep costs down, he buys many products in bulk and... (answered by longjonsilver)

Kevin operates a soybean farm. He buys many supplies in bulk. Often the bulk products... (answered by lynnlo)

Kevin operates a soybean farm. He buys many supplies in bulk. Often the bulk products... (answered by checkley79)

A bulk store has two types of mixed nuts: One is 60% peanuts, and the other is 35%... (answered by stanbon)

A company that supplies bulk candy to bakeries has one batch of chocolate chips that are (answered by stanbon,Finavon)

A candy company manufactures seven types of hard candy for its mixed candy. The bulk... (answered by ikleyn)

How many kilograms can a bag can carry given the follwoing data: l = 94 cm w = 92 cm (answered by ikleyn)