let h and c represents number of hotdogs and corndogs sold
a)
hotdogs sold = 2×corndogs sold - 3
h = 2c - 3
b )
1 hotdog costs = $3
h hotdogs will cost = 3 × h = 3h
1 corndog cost = $ 1.50
c corndogs will cost = 1.50 × c = 1.50c
so money collection = money collected by selling hotdogs and corndogs
3h + 1.50c = 201
c)
now putting value of h from equation in part (a) in equation obtained in part (b)
3h + 1.50c = 201
3(2c-3) + 1.50c = 201
6c - 9 + 1.50c = 201
7.50 c = 201 +9= 210
c = 210/7.5 = 28
so now
h = 2c - 3 = 2×28 - 3= 56-3= 53
so 53 hotdogs sold and 28 cordogs sold
