Answer:
3000 gallons of 12 percent is required
Step-by-step explanation:
We can use the formula
percentage * amount + percentage * amount = percentage*total amount
We have 9 percent and 15 percent wine that we are mixing to get 12 percent wine.
We are adding g gallons and 3000 gallons to get a total of (g+3000) gallons
Substituting this information in
.09 *g + .15 * 3000 = .12 (g+3000)
Distribute
.09g +450 = .12g+360
Subtract .9g from each side
.09g-.09g +450 = .12g-0.09g+360
450 = .03g + 360
Subtract 360 from each side
450-360 = .03g
90 =.03g
Divide each side by .03
90/.03 = .03g/03
3000 = g
times both sides by 7 (to get rid of the 7 on the left)
Add 5 to both sides