Question

A group of n friends is going to drive together to a big city to have lunch, visit a museum, and have dinner. They expect to spend $15 for gasoline, $20 for parking, $8 each for lunch, $11 each for tickets to the museum, and $12 each for dinner. The expression below represents the total number of dollars they expect to spend. 15 +20 + 8n +11n +12n The expression can be simplified as 35 +31n. Which statement explains the meaning of this simplified expression?

A. They expect to spend $66 each, not including gasoline and parking.
B. They expect to spend $31 each, plus an extra $35 for gasoline and parking.
C. They expect to spend $66 each, including gasoline and parking.
D. They expect to spend $35 each, plus an extra $31 for gasoline and parking. ​

Answer 1

Option (B)

Explanation:

Group of 'n' friends is going to drive together.

Expected expenditure on gasoline and parking = $(15 + 20) = $35

Expected expenditure for lunch, tickets for museum and dinner

= (8 + 11 + 12) × n

= 31n

Expression representing total expenditure = 35 + 31n

This expression shows the expected expenditure on each friend = $31

Plus an extra expense on gasoline and parking = $35

Therefore, Option (B) is the correct option.