please help me solve:
An advertisement from the back of Denton checklist:
(1) $1300 sofa and love seat
(2) $1400 sofa and two chairs
(3) $1600 sofa, love seat, one chair
How much does each piece of furniture cost individually?
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From (1) and (3), we see that one chair price is 1600 - 1300 = 300 dollars.
Having it, from (2) we conclude that the sofa price is 1400 - 2*300 = 1400 - 600 = 800 dollars.
Finally, from (1) we deduce that the love seat price is 1300 - 800 = 500 dollars.
ANSWER. The prices are $800 for sofa, $500 for love seat and $300 for a chair.
Solved.
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This problem is intended and is expected to be solved mentally, using reasoning only and without using any equations.
The normal expectation is that a person/ (a student) will solve it mentally in his/her mind from the first glance,
using paper and pencil and spending about 1 minute to make all necessary calculations and writing.
If the solution does not teach it, then this time is wasted.