anonymous
  • anonymous
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 14 hours to prepare, 3 hours to paint, and 4 hours to fire. A sleigh takes 4 hours to prepare, 15 hours to paint, and 7 hours to fire. If the workshop has 116 hours for prep time, 64 hours for painting, and 110 hours for firing, How many of each can be made?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
A. 8 wreaths, 6 trees, 2 sleighs B. 6 wreaths, 2 trees, 8 sleighs C. 9 wreaths, 7 trees, 3 sleighs D. 2 wreaths, 8 trees, 6 sleighs
anonymous
  • anonymous
call number of wreaths w , trees t and sleighs s. now you have 3 equations with 3 unknowns: 3w + 14t + 4s = 116 2w +3t + 15s = 64 9w+4t+7s=110
anonymous
  • anonymous
i thought u cant add unlike terms

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anonymous
  • anonymous
each equation is for different "process"
anonymous
  • anonymous
ya i have no clu w/ this one
anonymous
  • anonymous
do you know how to solve these equations ?
anonymous
  • anonymous
no
anonymous
  • anonymous
another way is plugging the answers into the equations .. the answer that satisfies all 3 equations is the correct one
anonymous
  • anonymous
ohh ok gimmie a min to figure it out .. sry this ones easy went right over my head
anonymous
  • anonymous
but solving them is better since you wont always have answers. so lets do it using both elimination and substitution. if you multiply the first equation by 3 then subtract the 3rd one from the first you have: 38t+5s=238
anonymous
  • anonymous
ok. we can keep on solving it if you wish
anonymous
  • anonymous
it would b a correct?
anonymous
  • anonymous
yes, A is the correct answer
anonymous
  • anonymous
thanks!
anonymous
  • anonymous
but, it is really good practice to solve the equations by hand and not substituting answers
anonymous
  • anonymous
but, it's up to you :)
anonymous
  • anonymous
its hard for me on the computer ... hence y im having some trouble in this class but im almost done thank god

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