Question

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

Answer 1

(44 − x)35 + (88 − 44) ⋅ 46 = C

Explanation:

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

x represents the number of children under 3 years

44-x are aged 12 years and under

Ticket price for under 12 years is (44-x)35

total of 88 people , 44 are under age 12

88-44= 44 are over 12 years of age

ticket price over 12 years is (88-44)46

Total cost = (44-x)35 + (88-44)46