The finishing stage of the manufacture of an automobile requires painting, drying, and polishing. The Rome Motor Company produces three types of cars: the Centurion, the Tribune, and the Senator. Each Centurion requires 8 hours for painting, 2 hours for drying, and 1 hour for polishing. A Tribune requires 10 hours for painting, 3 hours for drying, and 2 hours for polishing. A Senator requires 16 hours for painting, 5 hours for drying, and 3 hours for polishing. If the company uses 224 hours for painting, 64 hours for drying, and 38 hours for polishing in a given month, how many of each type of car are produced?

daniellex0x0xto

daniellex0x0xto

Answered question

2022-08-04

The finishing stage of the manufacture of an automobile requires painting, drying, and polishing. The Rome Motor Company produces three types of cars: the Centurion, the Tribune, and the Senator. Each Centurion requires 8 hours for painting, 2 hours for drying, and 1 hour for polishing. A Tribune requires 10 hours for painting, 3 hours for drying, and 2 hours for polishing. A Senator requires 16 hours for painting, 5 hours for drying, and 3 hours for polishing. If the company uses 224 hours for painting, 64 hours for drying, and 38 hours for polishing in a given month, how many of each type of car are produced?

Answer & Explanation

datganuhl

datganuhl

Beginner2022-08-05Added 7 answers

Centurion Tribune Senator Painting 8 10 16 Drying 2 3 5 Polishing 1 2 3
Let Centurion = x
Tribune = y
Senator = z
So,
8 x + 10 y + 16 z = 224 2 x + 3 y + 5 z = 64 x + 2 y + 3 z = 38 x = 9 ,   y = 4 ,   z = 7.

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