Pregunta
(18) The ratio of the number of boys to girls in PE class is 5 to 6 . If there are 154 total studen how many boys are there?
Ask by Chen Cruz. in the United States
Feb 26,2025
Solución de inteligencia artificial de Upstudy
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There are 70 boys in the PE class.
Solución
Let the number of boys be 5x and the number of girls be 6x. Since the total number of students is 154, we have:
5x + 6x = 154
11x = 154
x = 154 ÷ 11
x = 14
Now, the number of boys is:
5x = 5 × 14 = 70
So, there are 70 boys in the PE class.
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Simplifique esta solución The Deep Dive
To solve for the number of boys, we first need to establish the combined ratio of boys to girls based on the ratio 5:6. This gives us a total of 5 + 6 = 11 parts. Each part represents a fraction of the total students. To find the value of each part, we divide the total number of students (154) by the total parts (11), which equals 14. Therefore, the number of boys is 5 parts, or 5 * 14, which equals 70 boys. To check your answer, simply multiply the number of girls, which is 6 parts or 6 * 14, giving you 84 girls. Adding both results (70 boys + 84 girls) confirms the total of 154 students!
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