Proportion by PartsProportion by Parts

SWBAT model solutions of SWBAT model solutions of proportions; solve proportions proportions; solve proportions

using part to whole ratiosusing part to whole ratios

How would you solve the followingHow would you solve the following

Rachel and Brent were running for the Rachel and Brent were running for the position of class president. For every 5 position of class president. For every 5 votes Rachel received from her class, votes Rachel received from her class, Brent got 3 votes. If each of the 32 class Brent got 3 votes. If each of the 32 class members voted, how many votes did each members voted, how many votes did each person get?person get?

ExamplesExamples

Josie mixes 5 quarts yellow, 2 quarts Josie mixes 5 quarts yellow, 2 quarts orange, and 1 quart white paint. If she orange, and 1 quart white paint. If she wants to make 16 quarts of this mixture wants to make 16 quarts of this mixture how many quarts of each color does she how many quarts of each color does she need?need?

ExamplesExamples

Mr. and Mrs. Eller share the driving during Mr. and Mrs. Eller share the driving during a trip across the country. For every 150 a trip across the country. For every 150 miles Mrs. Eller drove, Mr. Eller drove 200 miles Mrs. Eller drove, Mr. Eller drove 200 miles. If the total driving distance was miles. If the total driving distance was 2800 miles how far did each person drive?2800 miles how far did each person drive?

ExamplesExamples

Allie’s painting job requires 2 cans of red Allie’s painting job requires 2 cans of red paint for every 3 cans of white paint. A paint for every 3 cans of white paint. A total of 20 paint cans are needed. How total of 20 paint cans are needed. How many of each color are needed?many of each color are needed?

ExamplesExamples

Samuel buys 40 pairs of socks in packs of Samuel buys 40 pairs of socks in packs of 5 pairs of white socks and 3 pairs of black 5 pairs of white socks and 3 pairs of black socks. How many pairs of each sock does socks. How many pairs of each sock does he buy?he buy?

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Elyssa is tiling a floor with a pattern that requires Elyssa is tiling a floor with a pattern that requires 16 white tiles for every 9 blue tiles. The floor 16 white tiles for every 9 blue tiles. The floor needs 600 tiles to cover it. How many of each needs 600 tiles to cover it. How many of each color tile does Elyssa need?color tile does Elyssa need? White:Total = 16:25White:Total = 16:25 Total white:total tiles = x:600Total white:total tiles = x:600 16/25 = x/60016/25 = x/600 25x = 960025x = 9600 X = 384X = 384 384 white tiles and 216 blue tiles384 white tiles and 216 blue tiles