mokap25 wrote:
A company bought some desks at a price of $150 each and some chairs at a price of $50 each. Did the company buy more than 40 chairs?
(1) The total price of the desk and chairs is 5,000
(2) The company bought fewer than 20 desks
Can some experts explain a systematic approach for solving optimization type problems, I am usually lost as to where to start on such problems.
Please explain your approach by helping solve this problem from GMAtprep software. As many creative approaches as possible.
Thanks for your help
Kaps
let there be d desks and c chairs.
Start with statement 2. d<20, says nothing about c. Insufficient.
Statement 1. d150 + c50= 5000
3d + c = 100
(d,c) can be (10,70) as well as (30,10) so we can't say c>40.
Combine 1+2
we know that d<20, number of chairs can't be -ve so let's assume 19
19*3 + c= 100,
c= 100 - 57 = 43, so yes we can answer the question using statement 1 and 2 together.