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Joan wants to share R1 245,00 in the ratio 2:3 between Thabo and Valois. Calculate: 1.4.1 How much will Thabo get. 1.4.2 How much will Valois get.
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Step-by-step solution
19 stepslet's calculate these ratios.
1.1 Simplify the following ratios:
1.1.1
Write the ratio.
Find the greatest common divisor (GCD) of 108 and 56.
Factors of 108: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108.
Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56.
The GCD is 4.Divide both parts of the ratio by the GCD.
The simplified ratio is .
1.1.2
Write the ratio.
Find the greatest common divisor (GCD) of 150 and 180.
Factors of 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150.
Factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180.
The GCD is 30.Divide both parts of the ratio by the GCD.
The simplified ratio is .
1.2 Write the following as unit ratios:
1.2.1
Write the ratio.
To express as a unit ratio, divide both sides by the first term (8).
The unit ratio is .
1.2.2
Write the ratio.
To express as a unit ratio, divide both sides by the first term (15).
Simplify the fraction by dividing both numerator and denominator by their GCD, which is 5.
The unit ratio is .
1.3
A new green colour of paint is made by mixing blue paint and yellow paint in the ratio . If you have 12 litres of blue paint, how many litres of yellow paint do I need to make up the new green colour?Set up the ratio of blue paint to yellow paint.
Substitute the given amount of blue paint (12 litres) into the ratio.
Solve for (yellow paint).
You need of yellow paint.
1.4 Joan wants to share R1 245,00 in the ratio 2:3 between Thabo and Valois.
1.4.1 How much will Thabo get?
Calculate the total number of parts in the ratio.
Determine Thabo's share as a fraction of the total.
Calculate the amount Thabo will receive.
Thabo will get .
1.4.2 How much will Valois get?
Determine Valois's share as a fraction of the total.
Calculate the amount Valois will receive.
Alternatively, subtract Thabo's amount from the total:
Valois will get .
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