Direct Proportion Direct proportion is a proportional relationship between two quantities where the ratio of the two quantities is constant. This means that...
Direct Proportion
Direct proportion is a proportional relationship between two quantities where the ratio of the two quantities is constant. This means that if the value of one quantity increases, the value of the other quantity will also increase in the same ratio.
Examples:
If you are baking a cake and the recipe calls for 1 cup of flour for 2 cake mixes, then the ratio of flour to cake mixes is 1:2.
If you are painting a room and the paint covers 10 square meters of wall for every liter of paint, then the ratio of wall area to paint volume is 10:1.
Solving Direct Proportion
To solve a direct proportion, we can simply divide the ratio of the two quantities. If we know the ratio of the two quantities, we can divide it by the ratio of the two measures of the corresponding variables.
Formula:
Ratio of quantities = Ratio of measures
Using the Formula:
To solve a direct proportion, we can use the following formula:
Ratio of quantities = Ratio of measures ÷ Ratio of measures
Example:
If the ratio of the number of apples to the number of oranges in a fruit basket is 3:4, then the ratio of the number of apples to the number of oranges is 3:4. We can divide both sides of this ratio by 3/4 to get 3:4 = 9:16. Therefore, there are 9 apples for every 16 oranges in the fruit basket