A tent manufacturer produces two models. Outback and Bushwalker. From earlier sales records it is known that 20 per cent more of the Outback model is sold than the Bushwalker. A profit of $200 is made on each Outback sold, but $350 is mde on each BushWalker. If during the next year a profit of $177000 is planned,how mnay of each model must be sold.

Hello Bob

Model Outback = A ; model Bushwalker = B
Sales Quantities : A = B/1,2 .
Profit A = 200 ; profit B = 350
Total profit = 177000

Call a SET of 1 A + B/1,2 = C
Profit per 1 A sale = 200. Profit per B/1,2 sale = 350/1,2 = 291,66(666666)
Now add these profits together to get the profit per SET C.
Divide the total planned profit by C to get the required sales of SETS, i.e. of sales quantities of A.
And from A = B/1,2 you can calculate B.

Please post here what quantities you came to, to see if you did it correctly !