Answer:
50 chairs with arms and 50 without arms will cost $7500
Step-by-step explanation:
Create two equations using the given information. The unknowns are :
W = Number of chairs with arms
N = Number of chairs with No arms
First equation (associated with the total number of chairs to buy):
W + N = 100
Second equation (associated with the amount to spend):
80 W + 70 N = 7500
Solving: solve for W in the first equation: W = 100 - N
Use it to substitute for W in the second equation:
80 (100 - N) + 70 N = 7500
8000 - 80 N + 70 N = 7500
subtract 8000 from both sides and combine
- 10 N = - 500
Divide both sides by -10 in order to solve for N
N = -500 / (-10) = 50
Now use this value in the substitution equation to solve for W:
W = 100 - 50 = 50
So the person can buy 50 chairs with arms and 50 chairs without arms paying for them $7,500.
