Exam 2: B: Review and Applications of Algebra

Buckerfields Garden Supply makes custom fertilizer by mixing appropriate combinations of bulk 6% nitrogen fertilizer with bulk 22% nitrogen fertilizer. How many kilograms of each type should be mixed to make 300 kg of 16% nitrogen fertilizer? (Hint: The weight of nitrogen in the mixture equals the total weight of nitrogen in the two components mixed together.)

Tickets for the end of semester dance sold for $10 if purchased in advance, and $15 if purchased at the door. If 392 tickets were sold for a total of $4280, how many tickets were sold at the door?

Marika bought 5 litres of milk and 4 dozen eggs for $13.97. Lester purchased 9 litres of milk and 3 dozen eggs for $16.83. What were the prices for a litre of milk and a dozen eggs?

Madison found a sweater at a suburban discount mall for 25% less than at a store in downtown Toronto. What percentage more would she have paid if she bought the sweater in downtown Toronto?

Use the formula V_f = V_i(1 + c₁)(1 + c₂)(1 + c₃) to determine c₂ if V_f = $586.64, _Vi = $500, c₁ = 0.17, and c₃ = 0.09.

Solve for x and y: 2x + 3y = 7 3x - y = 5

Simplify and collect like terms:

If the euro is worth 60% more than the Canadian dollar, how much less (in percentage terms) is the Canadian dollar worth than the euro?

Simplify the following:

The retail price of an item is $625.50. This includes a markup of three-quarters of the wholesale cost to the retailer. What is the wholesale cost?

Solve accurate to the cent:

What sum of money when increased by 7% equals $52.43?

Ajax Corporation has $48,000 to spend on advertising and is considering radio, television and newspaper ads. For radio ads, Ajax will spend a quarter of what it will spend on newspaper ads. For television ads, it will also spend 70% of what it will spend on radio ads. How much will the company spend on radio, newspaper and television ads respectively?

Solve the following to four decimal places

Simplify the following equation

New computer hardware uses 40% less energy than the current model. How much more efficient is the new computer?

What amount after a reduction of 25% equals $50?

Simplify the following:

José works in a toy manufacturing plant. The wooden toy he fabricates requires three steps: cutting, assembly, and painting. Assembly takes two minutes longer than half the cutting time, and painting requires half a minute longer than half the assembly time. How long does each step require if José made 72 units in 42 hours of work?

Goldfield Resources' share price fell by $4 in Year 1 and then rose by $4 in Year 2. If the share price was $6 at the end of Year 1, what was the percent change in share price each year?