2. A club has to buy x gold medals, y

Berikut ini adalah pertanyaan dari 212207002 pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Atas

2. A club has to buy x gold medals, y silver medals and z bronze medals for an event. When the prices of gold, silver and bronze medals are $30, $20, and $10 each respectively, the total cost is $410. When the prices are $40, $25, and $15 each respectively, the total cost is $545. (a) Find two possible sets of values of x, y, and z.(b) Do you think the solutions you have obtained are the only possible sets? Give your reasons.​

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Answer:

a) Since there are two distict condition of medal prices, we can deduce that:

30x + 20y + 10z = 410

40x + 25y + 15z = 545

b) Since the sets are NOT compliment each other (in other word the substitution and elimination cannot be done by such condition) and the data is insufficient, therefore the solutions are only possible sets.

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Last Update: Thu, 20 Jul 23