A farmer sells 8.1 kilograms of apples and pears at the farmers market. 3/5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmers market?

weight of pear = 3.24 kg

Step-by-step explanation:

A farmer sells 8.1 kg of apples and pears at the farmers market. 3/5 of the weight is apples and the rest is pears.

3/5 of the total weight = apple weight

3/5 * 8.1 = 24.3/5 = 4.86 kg of apple

The combine weights of the apple and pears = 8.1 kg. Since the weight of apple is 4.86 kg, the weight of pear can be gotten when you subtract the weight of apple from the combined weight.

weight of pear = combine weight - weight of apple

weight of pear = 8.1 - 4.86

weight of pear = 3.24 kg

3.24kg

Step-by-step explanation:

The proportion method will be used to find the mass of the pears.

Let "A" represent the unknown mass of the Apple

A/8.1=3/5

Cross multiply

A*5=8.1*3

5A = 24.3

Divide both sides by the coefficient of A which is 5

5A/5=24.3/5

A = 4.86kg

Therefore the unknown mass of Apples is 4.86kg

To find the mass of the pear subtract the mass of Apples from the total mass

= 8.1-4.86

= 3.24kg

Thus, the farmer sells 3.24kg of pears in the market.