# Thread: Major Help on Word Problem!!!!

1. ## Major Help on Word Problem!!!!

Granny needs 3 gallons of 15% vinegar for
her pickles. Bud went to the store and bought
2 gallons of 50% vinegar. Granny asks:
How much pure spring water must I mix with
some of that 50% stuff to get my canner
filled with 3 gallons of 15% solution?

any help would be greatly appreciated...so much...

2. Originally Posted by Sweetie
Granny needs 3 gallons of 15% vinegar for
her pickles. Bud went to the store and bought
2 gallons of 50% vinegar. Granny asks:
How much pure spring water must I mix with
some of that 50% stuff to get my canner
filled with 3 gallons of 15% solution?

any help would be greatly appreciated...so much...
Let the number of gallons of water used be $\displaystyle x$, then $\displaystyle 3-x$ gallons of 50% solution is used.

Concentation of $\displaystyle 3$ gallons of mixture is the pure vinegar content of $\displaystyle 3-x$ gallons of 50% solution divided by $\displaystyle 3$ gallons, and the pure vinegar content of $\displaystyle (3-x)$ gallons of 50% mixture is $\displaystyle (3-x) \times 0.50$, so as the new solution is to be 15%:

$\displaystyle \frac{(3-x) \times 0.50}{3}=0.15$

RonL

3. i got 2.1 gal ?

Is that right?