We have 3 bottles, each containing a certain amount of water. If we pour 54 cl o

Question

We have 3 bottles, each containing a certain amount of water. If we pour 54 cl of water from bottle A to bottle B, B would have 3 times as much water as bottle A (after pouring) Start over with the original configuration. If we pour 174 cl of water from bottle B to bottle C, then C would have 3 times as much water as bottle B (after pouring. Start over with the original configuration. If we pour 54 cl of water from bottle C to bottle A, A would have the same amount of water as C. How much water there is in each bottle (in centiliters)?

Explanation / Answer

Dear Student Thank you for uisng Chegg !! Let the initial amount of water in A, B C be XA, XB, XC respectively Now as peer question 3(XA - 54) = XB + 54 (1) 3(XB - 170) = XC + 170 (2) XC - 54 = XA + 54 (3) From (2) & (3) 3(XB - 170) = XA + 108 + 170 3XB = 788 + XA XB = 262.66 + XA/3 Substituting in (1) 3XA - 162 = 316.66 + XA/3 8XA/3 = 478.66 XA = 179.4975 cl => XB = 322.4925 cl => XC = 287.4975 cl

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