[list][*]Ratio is the comparison of the size or value of one quantity with another.[/*][*]It involves comparing two quantities of the same kind. [/*][*]These quantities can be the number of objects, measurements of length, weight, or volume. [/*][*]Ratios can be simplified.[/*][/list]
[b]Example: [/b][b]If there are 3 apples and 5 oranges[/b][br][list][*]The ratio of [color=#0000ff]apples to oranges [/color]is [color=#0000ff]3 : 5.[br][/color][/*][*]The fractional form is[color=#0000ff] [/color][math]\frac{3}{5}[/math][color=#0000ff].[/color][/*][*][color=#980000][b]Order [/b][/color]is important!!! Ratio of apples : oranges [math]\ne[/math] ratio of oranges : apples. [/*][*][color=#980000][b]Unit of measurement [/b][/color]must be [color=#980000][b]same [/b][/color]for both quantities. [/*][/list]
The table shows the length of fabric purchased by Raysha's mother.[br][table][tr][td][b]Fabric color[/b][/td][td]Yellow[/td][td]Green[/td][td]Blue[/td][/tr][tr][td][b]Length[/b][/td][td]2m[/td][td]300cm[/td][td]4m[/td][/tr][/table][br]State the ratio: [br]a) Length of yellow fabric to the length of green fabric.[br][br][color=#134f5c][b]Answer: [/b] [br]Yellow = 2m [br]Green = 300cm = 3m [br][/color][color=#ff0000][b]*The unit of measurement must be the same.[/b][/color][color=#134f5c][br][br]Yellow : Geen[br] 2 : 3[br][/color]
The table shows the length of fabric purchased by Raysha's mother.[br][table][tr][td][b]Fabric color[/b][/td][td]Yellow[/td][td]Green[/td][td]Blue[/td][/tr][tr][td][b]Length[/b][/td][td]2m[/td][td]300cm[/td][td]4m[br][/td][/tr][/table][br]State the ratio: [br]b) Length of blue fabric to the total length of all fabric.[br][br][color=#134f5c][b]Answer: [/b] [br]Green = 300cm = 3m[br][/color][b][color=#ff0000]*The unit of measurement must be the same.[br][/color][/b][color=#134f5c] [br]Blue = 4m [br]Total fabric = Yellow + Blue + Green[br] =2+3+4[br] =9[br]Blue : Total fabric[br] 4 : 9[/color]
The table shows the length of fabric purchased by Raysha's mother.[br][table][tr][td][b]Fabric color[/b][/td][td]Yellow[/td][td]Green[/td][td]Blue[/td][/tr][tr][td][b]Length[/b][/td][td]2m[/td][td]300cm[/td][td]4m[br][/td][/tr][/table][br]State the ratio: [br]c) Total length of all fabric to the length of yellow fabric.[br][br][color=#134f5c][b]Answer: [/b] [br]Green = 300cm = 3m[br][/color][b][color=#ff0000]*The unit of measurement must be the same.[/color][/b][color=#134f5c][br]Yellow=2m[br]Total fabric = Yellow + Blue + Green[br] =2+3+4[br] =9[br]All fabric : Yellow[br] 9 : 2[/color]
Based on Picture 2, the mass of each watermelon is the same. State the ratio:[br]a) the mass of one watermelon to the mass of one pineapple[br][br][color=#134f5c][b]Answer: [br][/b]2 watermelon = 4kg[br]1 watermelon = [/color][math]\frac{4}{2}[/math][color=#134f5c]kg[br] = 2 kg[br][br]1watermelon + 1 pineapple = 3kg[br] 2kg + 1 pineapple = 3kg[br] 1 pineapple = 3kg-2kg[br] = 1kg[br][/color][br][color=#1155cc]*1 watermelon = 2kg[br]*1 pineapple = 1kg[br][br][/color][color=#134f5c]1 watermelon : 1 pineapple[br] 2 : 1[/color]
Based on Picture 2, the mass of each watermelon is the same. State the ratio:[br]b) the mass of one pineapple to the total mass of the fruits[br][br][b]Answer:[br][/b][color=#0000ff]*1 watermelon = 2kg[br]*1 pineapple = 1kg[/color][br][color=#134f5c][br]Total mass of fruits = 3 watermelon + 1 pineapple[br][/color] [color=#134f5c] = 3 x 2kg + 1kg[br] = 6kg + 1kg[br] = 7kg[br][/color][br][color=#134f5c]Total fruits : 1 pineapple[br][/color][color=#134f5c] 7 : 1[/color]
The price of one pair of pants is 3 times the price of one shirt. State the ratio of the price of one shirt to the total price of one shirt and one pair of pants.[br][br][color=#134f5c][b]Answer:[br][/b]1 pants = 3 shirt[br]Change to fractional form : [/color][math]\frac{pants}{shirt}[/math][color=#134f5c]=[/color][math]\frac{3}{1}[/math][color=#134f5c][br]Change to ratio: [br][/color][color=#1155cc]* pants : shirt[br] 3 : 1[br][br][/color][color=#134f5c]Total 1 pants + 1 shirt= 3 + 1[br][/color] [color=#134f5c] = 4[/color][br][color=#134f5c]1 Shirt : Total[br][/color][color=#134f5c] 1 : 4[/color]