Mixture Problem: Addison is mixing hummingbird food to fill her feeders. Ideally, the hummingbird food should contain 25% sugar. Addison remembers that she has 8 ounces of leftover hummingbird food that contains 35% sugar. She decides to mix some diluted food to add to the leftover food. If the diluted food contains 10% sugar, how much should she add to the food with 35% sugar to get the ideal hummingbird food with 25% sugar?
a. What equation is used to solve this problem?
b. Identify the given information. How can you represent each food mixture with an expression? What amount will you repr

Question

Mixture Problem: Addison is mixing hummingbird food to fill her feeders. Ideally, the hummingbird food should contain 25% sugar. Addison remembers that she has 8 ounces of leftover hummingbird food that contains 35% sugar. She decides to mix some diluted food to add to the leftover food. If the diluted food contains 10% sugar, how much should she add to the food with 35% sugar to get the ideal hummingbird food with 25% sugar?
a.	What equation is used to solve this problem?
b.	Identify the given information. How can you represent each food mixture with an expression? What amount will you repr

anonymous · Answer

yay someones looking at my question

anonymous · Answer

use 100*(ounces of sugar)/(ounces of bird feed) = (percentage of sugar)

If the 8 ounces of bird feed with 35 percent sugar, then it must have 2.8 ounces of sugar.

anonymous · Answer

is that the answer??

anonymous · Answer

Now solve (2.8+.1*x)/(8+x)=25/100

anonymous · Answer

o solve a problem involving the sum of two mixtures use the equation,

(amount mix A)(% mix A) + (amount mix B) (% mix B) = (amount resulting mix)(% resulting mix).

Enter the given information into the equation and solve for the unknown variable

anonymous · Answer

my lesson says to do that is that what u did

anonymous · Answer

.1 represents the 10 percents diluted sugar

anonymous · Answer

and x is the answer?

anonymous · Answer

x is the amount of diluted birdfeed she must add. 5.333 ounces.

anonymous · Answer

so the equation you had was right.

anonymous · Answer

i hope that helps

anonymous · Answer

alright thanks so much

anonymous · Answer

idk if this answers right so help u guys i need second opinions

mathteacher1729 · Answer

This page has lots of worked examples and it gives a nice table which might help organize your work: http://www.onlinemathlearning.com/mixture-problems.html (click example 1, 2, or 3)

anonymous · Answer

thanks do you think the answer the person gave is right though

mathteacher1729 · Answer

Fill in the table: 

$$\begin{array}{r|ccc}sugar & original & added & result \ \hline \ concentration (\%) & & \amount (oz.)\end{array}$$

anonymous · Answer

I'm asking if the answers right i don't care how u work it out

mathteacher1729 · Answer

Your problem is almost identical to this one: http://www.onlinemathlearning.com/mixture-problems.html#add Only you are using SUGAR instead of SALT. :)

hero · Answer

Maybe a visual diagram would work:

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