Ceramic Products

ceramic christmas trees to paint

math problem?

Is there another way to make this problem outside the Solver option in Microsoft Excel? A crown made of ceramic, trees and sleighs for sale at Christmas. A crown is 3 hours to prepare, to two hours to paint, and 10 hours the fire. A tree takes 15 hours to preparation, 3 hours painting, and four hours the fire. A sled is 4 hours to prepare, 15 hours to paint, and seven hours the fire. If the workshop is 96 hours for preparation time, 73 hours for the paint and 117 Fire when, how each can be done?

leave 3x – 2x Crown prepare – 10X paint Crown – 15 and crown fire – 3y prepare tree – tree painting 4y – 4z fire trees – to prepare 15z sled – sled painting 7z – 15 + 3x + 4z flamboyant = 96 —> 1 2x + 3y + 15z = 73 —> 2 + 10x + 4y = 7z 117 —> 3 multiplied by 2 eq-5-10x-15 – 75Z = -365 combine EQS 2 3-10x – 15 – 75Z = -365 + 10x + 4y = 7z-68z = 11y 117-248 – -> 4 eq 1 multiplied by -2 and EQ 2 by 3-6x-30Y-8Z = -192 – -> 1 + 6x + 9y = 45Z 219-21 and + 37z = 27 —> 5 combine 4 and 5-11y-68z = 248 (multiplied by -21), 21 + 37z = 27 (multiplied by 11) 231 1428 5208 z =-231y + 407z = 297 = 5505-1835z 21 and Z = 3 + 37 (3) = 27 -84 = 21 and y = 3x 4 + 15 and + 4z = 96 3x + 15 (4) + 4 (3) = 96 3x = 24 x = 8 8 3 4 sleds tops Trees

Can anyone help me solve this math problem using elimination?

A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hours to prepare, 2 hours to paint, and 9 hours to fire. A tree takes 15 hours to prepare, 3 hours to paint, and 4 hours to fire. A sleigh takes 4 hours to prepare, 16 hours to paint, and 7 hours to fire. If the workshop has 123 hours for preparation time, 80 hours for painting, and 108 hours for firing, how many of each can be made?

WREATH: 12

TREE: 8

SLEIGH: 5

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