101 Ratios and Rates

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10-1 Ratios and Rates
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Definition

• Ratiocomparison of one number with another number

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3 ways to write a Ratio

• With a colon Ex. 914
• In fraction form Ex.
• In word form Ex. 9 to 14

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Ratios in the real world

• Can anyone think of any examples?
• Banking
• 2 cycle engine oil mixtures
• Productivity comparisons between workers.

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Example 1

• Write both other forms of the ratios given in
  lowest terms
• 6ft. to 18ft
• 3in 12in
• 3)

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Word problems involving ratios

• Example
• There are 630 employees at the Freemont Canning
  Company. The ratio of female employees to male
  employees is 4 to 3. How many male employees
  work at this company?
• Solution on next slide

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Solution

• Let x employees
• so females 4x
• and males 3x
• 4x 3x 630
• Solve for x

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Definition

• Rate a ratio that compares two different kinds
  of quantities.
• Example
• 135lbs for 18 bags
• Comparing 2 different quantities

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Definition

• Unit rate rate that has one of the different
  quantites as only having a single unit
• Ex
• 148 beats in 2 min
• What is the unit rate?

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Find the unit rate or unit price for each of the
following and compare to see which is a better
deal

• 64 oz for 2.48
• 128 oz for 4.78
• This is often used in comparing prices

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Example

• A 12 oz can of green beans costs 2.52. A 15 oz
  can of Green beans costs 3.40. Which is a
  better buy?

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Classwork

• Pg 394 1-10 and
• Pg 395 2-4