Question

in a recent year the total sales at resterraunt A were $100,000 more than resteraunt B total sales at the two stores were $575,000,000. what were the sales for the year at each store?

Answer 1

A = B + 100,000
A + B = 575,000
now we sub B + 100,000 in for A in the 2nd equation
A + B = 575,000
(B + 100,000) + B = 575,000 -- combine like terms
2B + 100,000 = 575,000 -- subtract 100,000 from both sides
2B = 575,000 - 100,000
2B = 475,000 -- divide both sides by 2
B = 475,000/2
B = 237,500

A = B + 100,000
A = 237,500 + 100,000
A = 337,500

check..
A + B = 575,000
337,500 + 237,500 = 575,000
575,000 = 575,000 (correct)

Store A sales for the year are $337,500
Sore B sales for the year are $ 237,500