Mark flew from Boston to Baltmore, then Baltimore to Orlando. The number of people on his first flight was five more than four times the number of people on his second flight. If there were 365 people altogether on the two flights, how many were on the flight from Baltimore to Orlando?

Question

Mathematics

Viviana Macdonald

26 February, 12:16

Mark flew from Boston to Baltmore, then Baltimore to Orlando. The number of people on his first flight was five more than four times the number of people on his second flight. If there were 365 people altogether on the two flights, how many were on the flight from Baltimore to Orlando?

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Answers (1)

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Murray · Answer 1

Let x = flight 1 and y=flight 2

x=4y+5 (5 more than 4 times the second flight)

y=y

x+y=365, replace x with 4y+5

4y+5+y=365, combine like terms

5y+5=365

5y+5-5=365-5

5y=360

5y/5=360/5

y=72

x=293

y=72

293+72=365

flight 2 had 72 people