The table below shows the ticket rates for whale watching trips offered by dolphin tricks & tours:

age
ticket price under 3 years free
3 to 12 years $35
over 12 years $46

on a certain day, the company took 88 people on whale watching trips. there were 44 children aged 12 and under, of which some children were under 3 years. if x represents the number of children under 3 years, which equation can be used to find the value of x, where c represents the total amount of money collected from tickets that day?

(44 + x)35 + (88 − (44 + x)) ⋅ 46 = c
(88 − x)35 + (88 − 44) ⋅ 46 = c
(44 − x)35 + (88 − 44) ⋅ 46 = c
(88 + x)35 + (88 − (44 + x)) ⋅ 46 = c