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Mathematics 15 Online
OpenStudy (love_to_love_you):

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OpenStudy (love_to_love_you):

A company manufactures three types of cabinets. It makes 110 cabinets each week. In the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. The next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week. In the first week, the number of type-1 cabinets produced was ______, the number of type-2 cabinets produced was _______, and the number of type-3 cabinets produced was _______.

OpenStudy (mathmale):

A company manufactures three types of cabinets. It makes 110 cabinets each week. Let the number of Type 1 cabs produced during the first week be x, the number of Type 2 cabs produced during the first week be y, and the number of Type 3 cabs produced during the first week be z. Summing these up: x+y+z=110 cabinets (total). In the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. Translate this into an equation: x + 2y = z + 10. The next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week. Translate these statements into another equation (or equations). In the end you'll need to solve for x, y and z.

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