SOLUTION: Ms. Parker mixes a 95% sugar cinnamon-flavored solution with a 90% sugar cherry-flavored solution to make 15 gallons of a new product. The new product is 91% sugar. How much of the

Algebra.Com
Question 1157273: Ms. Parker mixes a 95% sugar cinnamon-flavored solution with a 90% sugar cherry-flavored solution to make 15 gallons of a new product. The new product is 91% sugar. How much of the cherry-flavored solution did she use?
[A] 12 gal [B] 10 gal [C] 3 gal [D] 14 gal
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Another one of these

Want 91%
Available 90% and 95%
The difference from 90 to 95 is in 5 equal parts and you want of the mix to be from the 90%.

u of the 90%
15-u of the 95%

-



-------------------12 liters of the 90% sugar, cherry-flavored solution.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Ms. Parker mixes a 95% sugar cinnamon-flavored solution with a 90% sugar cherry-flavored solution to make 15 gallons of a new product. The new product is 91% sugar. How much of the cherry-flavored solution did she use?
[A] 12 gal [B] 10 gal [C] 3 gal [D] 14 gal
Let amount of cherry-flavored solution be C

Then amount of cinnamon-flavored solution = 15 -C

We then get: .9C + .95(15 - C) = .91(15)

.9C + 14.25 - .95C = 13.65

.9C - .95C = 13.65 - 14.25

 - .05C = - .6

Amount of cherry-flavored solution to mix, or  

RELATED QUESTIONS


 Mrs. Martinez mixes a 90% sugar cinnamon flavored solution with a 95% sugar... (answered by josgarithmetic)

Ms. Sanders mixes a 75% sugar cinnamon-flavored solution with a 95% sugar cherry-flavored  (answered by greenestamps)

Mr. Kang mixes an 80% sugar cinnamon-flavored solution with a 95% sugar cherry-flavored... (answered by richwmiller)

Mr. Kang mixes an 85% sugar cinnamon-flavored solution with a 75% sugar cherry-flavored... (answered by richwmiller,greenestamps,josgarithmetic,amalm06)

how many gallons of a 15% sugar solution must be mixed with 5 gallons of a 40% sugar... (answered by Theo)

9 gallons of a sugar solution was mixed with 6 gallons of a 90% sugar solution to make a... (answered by ankor@dixie-net.com)

9 gal of sugar solution was mixed with 6 gal of a 90% sugar solution to make 84%
sugar... (answered by edjones,HydroKid)

Kris mixes plain marshmallows worth 80 cents per gram with flavored marshmallows worth 95  (answered by lwsshak3)

a 9 gallon solution with 60% sugar is added with another solution with 90% sugar to make... (answered by josmiceli)