Exam 2: B: Review and Applications of Algebra

Granola king wishes to mix raisins and granola together to create a cereal. Raisins are priced at $7.25 per Kg while granola is priced at $5.60. If the cereal is to be priced at $6.85 per Kg, then what is the appropriate mix of raisins and granola?

If actual sales of $18,000 were 36% of budgeted sales, what were the budgeted sales?

Calculate the missing value: Initial Value = 26.3cm; Final Value =?; Percent Change = 300%

A partnership in a public accounting practice has 7 partners and 12 accounting technicians. Each partner draws the same salary, and each technician is paid the same salary. The partners calculate that if they give the technicians a raise of 5% and if they increase their own salaries by 5%, the gross annual salaries for all accounting personnel will rise from the current $1,629,000 to $1,734,750. What are the current annual salaries of a partner and an accounting technician?

Larissa works in a retail store in Square One in Mississauga. She earns a base salary of $320 per week, and a commission of 3% on sales over her quota of $5,000. If Larissa earned $515 last week, what was the value of her sales?

Simplify and collect like terms: 4x + 5 - 2.1(x - 7) 8

Evaluate: -4(r - t) - (2r - 4t) for r = 1/2 and t = 1/4.

Simplify and collect like terms:

If operating expenses are 40% of revenue, by what percentage does revenue exceed operating expenses?

Simplify and collect like terms:

Future Shop's Toronto store sales increased by 3.45% from last year's sales of $2.5 million. Determine the current year's sales.

(5x - 2y)(x - 2y) =

$750 is what percent more than $250?

A company has 50% less equity financing than debt financing. What percentage is the debt of the equity? What percentage more debt financing does the company have than equity financing?

The stock market index decreased this month by one-thirteenth of last month's index. If this month's index is 2,400, what was last month's index?

Evaluate the following: =

Stavros sells gold and green fabric in his drapery store. He buys the same quantity of both each quarter for $18 per metre for the gold fabric and $20 for the green fabric. His last order totalled $2,290. The supplier has advised Stavros that the gold fabric will increase by 20% and the green fabric by 25%, and his total order for the next quarter will be $2813. How many metres of gold fabric does Stavros order each quarter?

Solve the following set of equations graphically:

If the denominator of a fraction decreases by 20% and the numerator remains unchanged, by what percentage does the value of the fraction change?

A car dealership's list price on cars is 18% above cost. Recently a demo was sold for $21,000, which is 15% off the list price. Determine the cost of the demo vehicle.