Problem 2 Dividing a Quantity Into a Given Ratio

Fundraising Members of the school band are buying pots of tulips and pots of daffodils to sell at their fundraiser. They plan to buy 120 pots of flowers. The ratio number of tulip pots number of daffodil pots fraction numberoftulippots , over numberofdaffodilpots end fraction  will be 2 3 . 2 thirds , .  How many pots of each type of flower should they buy?

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2. The measures of two supplementary angles are in the ratio 1 : 4 . 1 colon 4 .  What are the measures of the angles?

Problem 3 Using an Extended Ratio

The lengths of the sides of a triangle are in the extended ratio 3 : 5 : 6 . 3 colon 5 colon 6 .  The perimeter of the triangle is 98 in. What is the length of the longest side?

Sketch the triangle. Use the extended ratio to label the sides with expressions for their lengths.

3 x + 5 x + 6 x = 98 The perimeter is  98  in. 14 x = 98 Simplify. x = 7 Divide each side by  14 . table with 3 rows and 4 columns , row1 column 1 , 3 x plus . 5 x plus 6 x , column 2 equals , column 3 98 , column 4 cap the perimeter is . 98 , in. , row2 column 1 , 14 x , column 2 equals , column 3 98 , column 4 cap simplify. , row3 column 1 , x , column 2 equals , column 3 7 , column 4 cap divide each side by . 14 . , end table

The expression that represents the length of the longest side is 6x. 6 ( 7 ) = 42 , 6 open 7 close , equals 42 , comma  so the length of the longest side is 42 in.

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3. The lengths of the sides of a triangle are in the extended ratio 4 : 7 : 9. The perimeter is 60 cm. What are the lengths of the sides?