d + c = 14 ... 125 d + 125 c = 1750
515 d + 125 c = 4870
subtract the equations to eliminate c
... solve for d
... substitute back to find c
An office manager spent $4870 on a total of 14 chairs and desks. Each chair costs $125, and each desk costs $515. How many chairs and how many desks did he buy? Create and solve a system of equations to solve the problem(Identify what your variables represent). Write a sentence stating the solution.
help pls
3 answers
IN OTHER WORDS, R_scott,
d = 14 - c
515*(14 - c) + 125c = 4870
7210 - 515c + 125c = 4870
(125 - 515)c = 4870 - 7210
(515 - 125)c = 7210 - 4870
390c = 2340
c = 6
d = 14 - c = 14 - 6 = 8
Double-checking, we get
c + d = 6 + 8 = 14.
It passed test 1. Test 2:
125*6 + 515*8 = 750 + 4120 = 4870.
It passed the second test.
That's six chairs and eight desks, though god knows what psycho would buy more desks than chairs. *shudder*
d = 14 - c
515*(14 - c) + 125c = 4870
7210 - 515c + 125c = 4870
(125 - 515)c = 4870 - 7210
(515 - 125)c = 7210 - 4870
390c = 2340
c = 6
d = 14 - c = 14 - 6 = 8
Double-checking, we get
c + d = 6 + 8 = 14.
It passed test 1. Test 2:
125*6 + 515*8 = 750 + 4120 = 4870.
It passed the second test.
That's six chairs and eight desks, though god knows what psycho would buy more desks than chairs. *shudder*
dear Anonymous,
I know you mean well ; but the idea of setting up the solution
... so that the questioner can solve it , gives them some "hands on"
... work to familiarize themselves with the process
... we call it "learning"
I know you mean well ; but the idea of setting up the solution
... so that the questioner can solve it , gives them some "hands on"
... work to familiarize themselves with the process
... we call it "learning"