Compare ratios and solve word problems involving ratios

DO NOW (not later): ,[object Object]

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What do we call a comparison between two or more quantities? RATIO We just found the RATIO of boys to girls. Is the ratio of girls to boys the same ? No, when writing a ratio, ORDER matters.

It’s Friday night and your friends are having a party…… ,[object Object],Would you want to attend the party?

How many basketballs to footballs are there? ,[object Object],[object Object]

What are some other ways we can write the ratio of basketball to footballs? ,[object Object],[object Object],[object Object],[object Object],First quantity to Second quantity First quantity : Second quantity First quantity divided by the second quantity (as a fraction ). Every ratio can be written in 3 ways: Careful!! Order matters in a ratio. 4 to 6 Is NOT the same as 6 to 4

Write the ratio of sandwiches to coke bottles 3 different ways. ,[object Object],[object Object],Since a fraction can be simplified, We can simplify the ratio 6/8 to 3/4. The ratio of sandwiches to coke bottles can also be expressed as 3 : 4 or 3 to 4. In other words, ratios can be simplified to form equivalent ratios.

Equivalent Ratios ,[object Object],[object Object],[object Object],[object Object],Step 1 – Write the ratio as a fraction Step 2 – Simplify the fraction (Find the greatest common factor (GCF) of both numbers and divide the numerator and denominator by the GCF). Step 3 – Write the equivalent ratio in the same form as the question ,[object Object],[object Object],GCF = 4

Equivalent Ratios can be formed by multiplying the ratio by any number. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Compound Ratios ,[object Object],[object Object],[object Object],[object Object]

A bag contains 18 yellow, blue, and red marbles. The ratio of yellow to blue to red marbles is 4 : 2 : 3 . ,[object Object],[object Object],[object Object],4 : 2 can be simplified to 2 : 1 4 : 3 Yellow : Blue : Red is 4 : 2 : 3 Since any multiple of this is an equivalent ratio, this can also be written as 4x : 2x: 3x Let 4x = yellow, 2x = blue , 3x = red 4x + 2x+ 3x = 18 9x = 18 X= 2 Since the question asks for yellow marbles, there are 4 x or 4 ( 2 ) = 8 yellow marbles.

Practice problem # 1 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Solution - # 1  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Practice Word Problems ,[object Object],[object Object],[object Object],[object Object],[object Object]

Practice Word Problems ,[object Object],[object Object]

Challenge Question ,[object Object]

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Compare ratios and solve word problems involving ratios

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