Algebra Homework Solve Mixing problems?

1. Katy wants to make 4.5 ounces of a 50% jasmine essential oil. She only has a 30% jasmine mixture and a 60% jasmine mixture available. How much of each mixture should she combine to create the desired oil? Katy should use____ounce(s) of the 30% mixture and___ounce(s) of the 60% mixture. 2. David invested a... show more 1. Katy wants to make 4.5 ounces of a 50% jasmine essential oil. She only has a 30% jasmine mixture and a 60% jasmine mixture available. How much of each mixture should she combine to create the desired oil?

Katy should use____ounce(s) of the 30% mixture and___ounce(s) of the 60% mixture.

2. David invested a total of $5900 at two separate banks. One bank pays simple interest of 10% per year while the other pays simple interest at a rate of 7% per year. If David earned $506 in interest during a single year, how much did he have on deposit in each bank?

David had $____ on deposit at the bank that payed 10% interest.

3. The number of new users y (in millions) for a certain website between September 2007 and January 2008 can be modeled by the equation y= ax^2 + bx +c, where x represents the age of the user. Using the ordered pair solutions (20,2), (40,6) and (60,5), create a system of linear equations in three variables for a, b, and c. Do this by substituting each ordered pair solution into the model, creating an equation in three variables. Solve the resulting system to find the coefficients of the model. Then use the model to predict the number of new users for the website who were 30 years old.

Find the model.

Y=_____

4. A bulk foods store makes a trail mix by combining two ingredients: dried tropical fruit that sells for $9 per pound and raw natural nuts that sell for $7.75 per pound. How much of each ingredient should be combined to get 70 pounds of a trail mix that sells for $8.50 per pound?

The store should ____pounds of dried tropical fruit and ____pounds of raw natural nuts.




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