The table below shows the ticket rates for whale watching trips offered by Orca Magic Tours: Age Ticket Price Under 3 years free 3 to 12 years $32 Over 12 years $44 On a certain day, the company took 82 people on whale watching trips. There were 54 children aged 12 and under, of which some children were under 3 years. If x represents the number of children under three 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? (54 + x) 32 + (82 - (54 + x)) ⋅ 44 = C (54 - x) 32 + (82 - 54) ⋅ 44 = C (82 + x) 32 + (82 - (54 + x)) ⋅ 44 = C (82 - x) 32 + (82 - 54) ⋅ 44 = C

Question

Damon Sexton

Mathematics

11 September, 06:02

The table below shows the ticket rates for whale watching trips offered by Orca Magic Tours: Age Ticket Price Under 3 years free 3 to 12 years $32 Over 12 years $44 On a certain day, the company took 82 people on whale watching trips. There were 54 children aged 12 and under, of which some children were under 3 years. If x represents the number of children under three 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? (54 + x) 32 + (82 - (54 + x)) ⋅ 44 = C (54 - x) 32 + (82 - 54) ⋅ 44 = C (82 + x) 32 + (82 - (54 + x)) ⋅ 44 = C (82 - x) 32 + (82 - 54) ⋅ 44 = C

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Answers (1)

Know the Answer?

Fiona Clark · Answer 1

Price of the tickets.

Under 3 years free

3 to 12 years $32

Over 12 years $44

Information we know:

1) The company took 82 people on whale watching trips.

2) 54 children aged 12 and under, of which some children were under 3 years.

3) The number of children under 3 years old is x.

4) C represents the total amount of money collected.

Number of children over 12 years old : (82 - 54)

Amount collected from children over 12 years old : (82 - 54). 44

Number of children between 3 to 12: (54 - x)

Amount collected from children between 3 to 12 years old : (54 - x). 32

Total:

C = (82 - 54). 44 + (54 - x). 32 (Answer B)