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Q2: A school choli is made up of tirls and boys in the ratio 4 i 3. There are 35 studente in the choir altogether. a) How many of the students are boys? b) What fraction of the students ara boys?

Ask by Campos Mcguire. in Saudi Arabia
Mar 17,2025

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a) There are 15 boys. b) The fraction of boys is \(\frac{3}{7}\).

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The Deep Dive

To get started, let's break down the ratio of girls to boys, which is 4:3. This means there are a total of 4 + 3 = 7 parts. To find out how many students make up each part, we divide 35 by 7, resulting in 5 students per part. For boys, represented by the 3 parts in the ratio, we multiply 3 by 5, giving us 15 boys in the choir. Now, to find out the fraction of the students that are boys, we take the number of boys (15) and divide it by the total number of students (35). This gives us 15/35, which simplifies to 3/7 when we divide both the numerator and the denominator by 5. So, the fraction of boys in the choir is 3/7!

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