Workplace and Apprenticeship Math 10 Unit 1 Proportions and Currency Exchange
Lesson 1
Rates, Ratios, and Proportions
Ratio:
Proportions:
Rate:
Example 1: Write a ratio or a rate (in simplest form) for the following situations.
a) Steven’s soccer team won 12 soccer games and lost 4 games.
b) A two-stroke engine requires 32 litres of gasoline to 1 litre of oil.
c) Peter earns $54.00 for 6 hours of babysitting.
d) Sara can jog 5 Km in 26 min.
Example 2: Solve the following proportions.
a) b)
Example 3:Jonathon builds raised garden and window boxes of various sizes in his spare time. He found the best ratio of length to width is 5 : 3.5 (so a box that is 5 feet long would be 3.5 feet wide). The largest box that he has built has a length of 14 feet, how long was it.
Set up a proportion
Example 4: Mark wants to mix a new shade of paint. He needs 3 parts blue to 1 part green.
a) How many parts are there all together?
b) If mark mixes 10 parts of green, how many parts of blue will he need?
Example 5: At a track meet in Regina, Saskatchewan the woman’s 1500 meter race was won in a time of 3 minutes and 56 seconds.
Speed is calculates in metres/second.
What was the average speed of the woman who won this race in 3 minutes and 56 seconds?
Lesson 2
Unit Pricing
Unit Price:
Unit Rate:
Example 1: Rosa buys supplies for her office in Langley, BC where she works as a clerk. She wants to buypens. The supplier sells a box of 12 pens for $6.25. Calculate the unit price of 1 pen.
Example 2: Claire picks fresh strawberries at the upick farm. If she fills a pint basket (0.5506 Litres) it will cost her $1.50. If she fills a 4 Litre pail it will cost her $9.00.
Determine the unit price per Litre for each and state which one is the better buy?
(The better buy is the one with the lowest cost per unit)
Lesson 3
Sales Pricing
Prices rise and fall due to consumer demand and supply. If demand rises suppliers are able to charge more. If demand falls or if there is a large supply of a product, prices may fall.
Prices rise and fall according to the cost of materials and labour that go into the creation of a product or service.
Markup:
Wholesale Price:
Retail Price:
Calculating percent of something
a) What is 45% of 200?
b) What is 12% of 169?
c) What is 110% of 89.99?
Calculating Markup
Calculating Retail Price
Calculating just the sales tax
Calculating Total Cost
Example 1:
a)What is the markup that Janice’s clothing store adds onto their price if they mark up a pair of jeans 85%?
b) What is the retail price of the pair of jeans?
c) What is the total price a customer must pay if they are required to pay 5% GST and 6% PST?
Example 2: If an electronic store sells a stereo system at a retail price of $895.00 and they had originally paid a whole sale price of $550, what is the mark up percentage on this stereo system?