SOLUTION: Last​ year, the expenses at​ Mack's Pizzeria were two sevenths of the total revenue and the remainder was profit. The​ profit, or the total revenue less​ expenses, was â€

Algebra ->  Finance -> SOLUTION: Last​ year, the expenses at​ Mack's Pizzeria were two sevenths of the total revenue and the remainder was profit. The​ profit, or the total revenue less​ expenses, was †     Log On


   



Question 1151698: Last​ year, the expenses at​ Mack's Pizzeria were two sevenths
of the total revenue and the remainder was profit. The​ profit, or the total revenue less​ expenses, was ​$99700. Find the total revenue.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = total revenue
Let +b+ = expenses
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(1) +b+=+%282%2F7%29%2Aa+
(2) +a+-+b+=+99700+
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Plug (1) into (2)
(2) +a+-+%282%2F7%29%2Aa+=+99700+
(2) +%285%2F7%29%2Aa+=+99700+
(2) +5a+=+69790+
(2) +a+=+139580+
The total revenue was $139,580
check:
(1) +b+=+%282%2F7%29%2Aa+
(1) +b+=+%282%2F7%29%2A139580+
(1) +b+=+39880+
and
(2) +a+-+b+=+99700+
(2) +139580+-+39880+=+99700+
(2) +99700+=+99700+
OK