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Question 237222: your company produces two models of bikes Model A and Model B Model A takes 2 hours to assemble and Model B takes 3 hours to assemble. Model A cost $25 to make each bike where Model B costs $30 to make per bike. If your company has 34 hours and $350 per day for these two bikes, how many of each can be made in a day? Solve equation using substitution or elimination. Explain how to check your solution for both equations.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! your company produces two models of bikes Model A and Model B Model A takes 2 hours to assemble and Model B takes 3 hours to assemble. Model A cost $25 to make each bike where Model B costs $30 to make per bike. If your company has 34 hours and $350 per day for these two bikes, how many of each can be made in a day? Solve equation using substitution or elimination. Explain how to check your solution for both equations.
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Let a = no. of Model A bikes
Let b = no. of B Model
:
The hrs constraint
2a + 3b = 34
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the cost constraint
25a + 30b = 350
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Multiply the 1st equation by 10, subtract from the above equation
25a + 30b = 350
20a + 30b = 340
------------------subtraction eliminates b, find a
5a = 10
a = 2 Model A bikes
then using the 1st equation
2(2) + 3b = 34
4 + 3b = 34
3b = 34 - 4
3b = 30
b = 10 model B bikes
;
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Check in the cost equation
25(2) + 30(10) = 350
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