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Large, medium and small ships are used to bring water. 4 large ships carry as much water as 7 small ships. 3 medium ships carry the same amount of water as 2 large ships, and 1 small ship. 15 large, 7 medium and 14 small ships each made 36 journeys and brought a certain quantity of water. In how many journeys would 12 large, 14 medium and 21 small ships bring the same quantity ?
Let the large ships be l, medium be m and small be s.
From the information given , we get
4l = 7s
3m = 2l + 1s
6m = 4l + 2s, so 6m = 9s, so 2m = 3s, m = 3s/2 = 6l/7
Total quantity of water in 36 journeys:
t = 36*[15l + 7m + 14s] = 36*[15l+6l+8l] = 36*29l
t = x [12l+14m+21s], x = number of journeys
36*29l = x[12l + 12l + 12l] = 36l*x
x = 29 journeys
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