The mass of Asad is 45 kg and the mass of Ahad is 55 kg. Find the ratio between Asad and Ahad's mass. Simplify if possible.

A shopkeeper sold 52 kg of sugar and 68 kg of rice. Find the ratio between sugar and rice sold by the shopkeeper. Simplify if possible.

To find the ratio between the masses of Asad and Ahad, follow these steps:

Identify the masses given in the problem:

Mass of Asad = 45 kg
Mass of Ahad = 55 kg


Write the ratio in fractional form: Ratio of Asad to Ahad = Mass of Ahad Mass of Asad ​ = 55 45 ​

Simplify the fraction to its lowest terms:

Find the greatest common divisor (GCD) of 45 and 55, which is 5.
Divide both the numerator and the denominator by 5: 55 ÷ 5 45 ÷ 5 ​ = 11 9 ​


Therefore, the simplified ratio of the masses of Asad to Ahad is: 11 9 ​


Now, let's find the ratio for the sugar and rice sold by the shopkeeper:

Identify the quantities given in the problem:

Sugar = 52 kg
Rice = 68 kg


Write the ratio in fractional form: Ratio of sugar to rice = Rice Sugar ​ = 68 52 ​

Simplify the fraction to its lowest terms:

Find the greatest common divisor (GCD) of 52 and 68, which is 4.
Divide both the numerator and the denominator by 4: 68 ÷ 4 52 ÷ 4 ​ = 17 13 ​


Therefore, the simplified ratio of the sugar to rice is: 17 13 ​


Both ratios are now simplified to their lowest terms. The ratio of Asad's mass to Ahad's mass is 11 9 ​ , and the ratio of sugar to rice is 17 13 ​ .

Answered by SophiaElizab | 2025-07-21

The simplified ratio of Asad's mass to Ahad's mass is 11 9 ​ . The simplified ratio of sugar to rice sold is 17 13 ​ . Both ratios are in their lowest terms.
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Answered by SophiaElizab | 2025-08-12