There 100 parts in the garage, the owner separate it

Berikut ini adalah pertanyaan dari herlinggaizzah1266 pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Atas

There 100 parts in the garage, the owner separate it into 4 different compartments. The parts' ratio is as follows: three car parts for every two motorcycle parts and four motorcycle parts for every three bicycle parts. How many parts is left for a pick up truck's part in the garage if it now holds nine bicycle parts.

Jawaban dan Penjelasan

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Jawaban:

The parts' ratio indicates that for every 3 car parts, there are 2 motorcycle parts and 3 bicycle parts. Therefore, the ratio of car parts to bicycle parts is 3:3.

Since there are 9 bicycle parts, there must be 9 car parts as well.

The total number of car and bicycle parts is 9 + 9 = 18.

Since the parts' ratio also indicates that for every 4 motorcycle parts, there are 3 bicycle parts, there must be 4 * 3 = 12 motorcycle parts.

The total number of car, motorcycle, and bicycle parts is 18 + 12 = 30.

There are 100 parts in the garage, and 30 of them are car, motorcycle, and bicycle parts, so there are 100 - 30 = 70 parts left for a pickup truck's part. Answer: \boxed{70}.

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Last Update: Wed, 29 Mar 23