SOLUTION: 4. Jessica plans to make a sugar and cinnamon glaze for donuts that she is baking. She can buy 10 pounds of sugar for $4.30. The cinnamon costs 25% more than the sugar. The mixt

Algebra ->  Expressions-with-variables -> SOLUTION: 4. Jessica plans to make a sugar and cinnamon glaze for donuts that she is baking. She can buy 10 pounds of sugar for $4.30. The cinnamon costs 25% more than the sugar. The mixt      Log On


   



Question 823742: 4. Jessica plans to make a sugar and cinnamon glaze for donuts that she is baking. She can buy 10 pounds of sugar for $4.30. The cinnamon costs 25% more than the sugar. The mixture will cost $0.50 per pound. Approximately what percent of the mixture is sugar?

5. Sarah mixed craisins and chocolate chips together for a snack.
-Sarah bought 8 lbs of craisins for a total of $6.80.
-The cost per pound of chocolate chips is 30% more than the cost per pound of craisins.
-Sarah bought enough chocolate chips that, when she mixed them with the craisins, the mixture had a value of $0.99 per pound.
Approximately what percent of the mixture, by weight, was chocolate chips?

6. Jennifer bought 12 pounds of strawberries for a total cost of $24. She also bought blueberries that were 20% more per pound than the strawberries. She made a mixture of strawberries and blueberries that was worth $2.15 per pound. Approximately what percent of the mixture, by weight, was blueberries?

Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
4. Suppose, Jessica mixes x pounds of cinnamon glaze to 10 pounds of sugar.

Price of sugar is $0.43 per pound.
Price of cinnamon glaze (25% more than that of sugar) is 1.25 x $0.43 = $0.5375 per pound.

Thus total cost of (10+x) pounds of the mixture is $(4.3+0.5375x).

The cost of the mixture is $0.5 per pound. This implies,
%284.3%2B0.5375x%29%2F%2810%2Bx%29=0.5
4.3%2B0.5375x=0.5%2810%2Bx%29
4.3%2B0.5375x=5%2B0.5x
0.0375x=0.7
x=56%2F3

In the mixture 56/3 pounds of cinnamon glaze is added to 10 pounds of sugar.

So, the content of sugar in the mixture is 10%2F%2810%2B56%2F3%29=+0.35 = 35%.