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The Ratio of boys to gipls in the \( 6^{\text {th }} \) grade is 3 to 4 If there are 39 boys in the 6 th grade, how many girls are there?

Ask by Barber Bowman. in the United States
Dec 02,2024

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There are 52 girls in the 6th grade.

Solución

The ratio of boys to girls in the 6th grade is given as 3 to 4. This means that for every 3 boys, there are 4 girls. Let the number of boys be represented as \( 3x \) and the number of girls as \( 4x \), where \( x \) is a common multiplier. According to the problem, there are 39 boys in the 6th grade. Therefore, we can set up the equation: \[ 3x = 39 \] To find \( x \), we divide both sides by 3: \[ x = \frac{39}{3} = 13 \] Now, we can find the number of girls by substituting \( x \) back into the expression for girls: \[ 4x = 4 \times 13 = 52 \] Thus, the number of girls in the 6th grade is \( \boxed{52} \).

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The Deep Dive

To find the number of girls, we can use the ratio of boys to girls. The ratio of boys to girls is 3 to 4, which means for every 3 boys, there are 4 girls. If there are 39 boys, we can set up a proportion. Let \( g \) be the number of girls. Using the ratio: \[ \frac{3}{4} = \frac{39}{g} \] Cross-multiplying gives: \[ 3g = 4 \times 39 \] \[ 3g = 156 \] \[ g = \frac{156}{3} = 52 \] So, there are 52 girls in the 6th grade! Now, can you imagine all those boys and girls together in class, with each side representing their own unique interests? No wonder there's bound to be excitement during group activities!

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