Fatimah and Hairu enjoy Congkak game part 2 (math question)

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Fatimah and Hairu enjoy the Congkak game; they invited Sarin to join them. As a new comer, Sarin has less marbles than them. He needs to win some games to catch up with them.

See posting on Fatimah and Hairu play Congkak to know about Congkak game.

Upper primary school mathematics question UPQ8

Hairu and Fatimah have a total of 328 marbles. Sarin and Hairu have 176 marbles altogether. Fatimah has 5 times as many marbles as Sarin. How many marbles does each of them have?


Solution:

Assume Sarin have 1 unit of marbles

4    units = 328 – 176 = 152

1    unit   = 152÷4 = 38 (Sarin)

5    units = 5×38 = 190 (Fatimah)

176 – 38 = 138 (Hairu)

Alternate solution:

F = 5S    ——- (1)

H + S = 176 — (2) → S = 176 – H

H + F = 328 — (3)

From (3) & (1),   H + 5S = 328

              H + 5(176 – H) = 328

                                  4H = 880 – 328

                                    H = 138

                                     F = 190

                                     S = 38

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