Question 1102064
At a furniture store, a chair was sold for Php 475 less than a side table and Php 278 more than a kitchen dish cabinet. The total cost of three items was Php 4175. What is the selling price of the side table? 

c = price of chair
s = price of side table
k = price of kitchen dish cabinet.


c = s - 475
c = k + 278


solve for s to get s = c + 475
solve for k to get k = c - 278


c + s + k = 4175
replace s with c + 475
replace k with c - 278


formula becomes:


c + c + 475 + c - 278 = 4175


combine like terms to get:


3c + 197 = 4175


subtract 197 from both sides of the equation to get:


3c = 4175 - 197


combine like terms to get:


3c = 3978


solve for c to get:


c = 3978 / 3 = 1326


s = c + 475 = 1326 + 475 = 1801
k = c - 278 = 1326 - 278 = 1048


c + s + k = 1326 + 1801 + 1048 = 4175