Question

A school eacher took some student to the amusement park. 1/2 of them has 3 rides on the merry-go-round. 3/5 of the remainder had two rides and the rest of the children had one ride. If 8 students had one ride. How many students did she take to the amusement park?

Answer 1

40 students

Explanation:

Total students in the amusement park = x

Students who had 3 rides = 1/2x

Remainder = x - 1/2x

= 1/2x

Students who had two rides = 3/5 of 1/2x

= 3/5 * 1/2x

= 3/10x

Students who had one ride = 8 students

x = 1/2x + 3/10x + 8

x = (5x+3x) / 10 + 8

x = 8/10x + 8

x = 4/5x + 8

x - 4/5x = 8

(5x-4x) / 5 = 8

1/5x = 8

x = 8 ÷ 1/5

x = 8 × 5/1

x = 40 students

Total students in the amusement park = x = 40 students