Question 303074
I have two questions.
1. Model A takes 2hrs to build at a cost of $25
2. Model B takes 3 hrs to build at a cost of $ 35
As a business owner I only have 34 hours and $350 for these two models how many of each model can be made in a day?
-------
Equations:
Hours Equation: 2A + 3B = 34 hours
Cost Equation: 25A +35B = 350 dollars
----------------------------------------------
Multiply the 1st equation by 25
Multiply the 2nd equation by 2
---------------------------------------------
50A + 75B = 850
50A + 70B = 700
------
Substract the 2nd from the 1st equation and solve for "B":
5B = 850-700
5B = 150
B = 30 (# of B houses to build)
----
Comment: Something is wrong with your data.
30 of the B houses would cost 30*35 = #1050
and you only have 350 dollars available.
===============================================
Check your Data
==================
Cheers,
Stan H.
-----
Substitute into 2A + 3B = 34 to solve for "A:
2A + 3*30 = 34