Ratios & Proportional Relationships

Ratios & Proportional Relationships

Open Ended

Entry Slip

There are 7 daises and 4 roses in the bride bouquet.

Write the relationship of daises to roses in a ratio all 3 ways.

There are 7 daises and 4 roses in the bride bouquet.

Write the relationship of daises to roses in a ratio all 3 ways.

7:4
7 to 4

 $\frac{\text{7}}{\text{4}}$  

Open Ended

Now lets say I wanted to keep the ratio of my bouqet the same, 7 daises and 4 roses, but I want to triple the flowers. What do you think i need to do?

Lets Examine what it being asked. Keeping the same ratio, tripling the flowers.

• What is the original ratio? 7:4

• What does tripling the ratio require? Multiplying by 3

• To keep the ratio the same you must multiply the first quantity in the ratio by 3 AND multiply the other quantity by 3 also.

Multiple Choice

I have a bouquet of flowers that contains 7 daises and 4 roses. I triple my bouquet with keeping the same ratio, what is the new ratio of daises to roses?

• 10 : 7

• 14:8

• 21: 12

Answer

I have a bouquet of flowers that contains 7 daises and 4 roses. I triple my bouquet with keeping the same ratio, what is the new ratio of daises to roses?
Orignal Ratio ----> 7:4 _____7 to 4 _____
triple (x3)-----------x3 x3_____ x3 x3
_____________21:12______21 to 12

or
 $\frac{\text{7}}{\text{4}}$  x  $\frac{3}{3}$  = $\frac{21}{12}$  

Equivalent Ratios: Equal

 $\frac{7}{4}$  is equivalent to  $\frac{21}{12}$ .