Question

Xavier, Yao and Zara had some beads. Xavier and Yao had a total of 438 beads. Xavier and Zara had a total of 204 beads. Yao had 3 times as many beads as Zara. How many beads did Xavier have?

Answer 1

Answer:

Let the number of beads that Xavier has be x. Let the number of beads that Yaozhou has be y. Let the number of beads that Zara has be z. The total number of beads they have altogether is 438. This means that: x + y + z = 438 _______(1) Xavier and Zara have a total of 204 beads. This means that: x + z = 204 => x = 204 - z _______(2) Yaozhou has 3 times as many beads as Zara. This means that: y = 3z _________________(3) Put (2) and (3) in (1): 204 - z + 3z + z = 408 3z = 408 - 204 = 204 z = 204/3 = 68 From (2): x = 204 - 68 = 136 From (3): y = 3 * 68 = 204

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