Bài 7: Có 40 Học Sinh đang Tập Bơi, Trong - Gauthmath

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Question

The students who go to Crown Academy either live in village A or in village B such that number of students from village A : number of students from village B=5:7 15% of the students from village A travel by bus to Crown Academy. 2/7 of the students from village B travel by bus to Crown Academy. Of the students from village A and village B who do not travel by bus to Crown Academy, 3/4 walk to Crown Academy. Find what fraction of the students walk to Crown Academy.SHOW LESS164

Solution

user avatar imageAnswer\(\frac{111}{192}\).ExplanationStep 1: Let the number of students in village A be \(5x\) and in village B be \(7x\). Step 2: Students from village A traveling by bus: \(15\%\) of \(5x = \frac{15}{100} \times 5x = \frac{3x}{4}\). Step 3: Students from village B traveling by bus: \(\frac{2}{7} \times 7x = 2x\). Step 4: Students from village A who do not travel by bus: \(5x - \frac{3x}{4} = \frac{17x}{4}\). Step 5: Students from village B who do not travel by bus: \(7x - 2x = 5x\). Step 6: Students walking from village A: \(\frac{3}{4} \times \frac{17x}{4} = \frac{51x}{16}\). Step 7: Students walking from village B: \(\frac{3}{4} \times 5x = \frac{15x}{4}\). Step 8: Total students walking: \(\frac{51x}{16} + \frac{15x}{4} = \frac{51x}{16} + \frac{60x}{16} = \frac{111x}{16}\). Step 9: Total students: \(5x + 7x = 12x\). Step 10: Fraction of students walking: \(\frac{\frac{111x}{16}}{12x} = \frac{111}{192}\). The fraction of students who walk to Crown Academy is \(\frac{111}{192}\). Click to rate:89.6(643 votes)Search questionBy textBy image/screenshotDrop your file here orClick Hereto upload

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