Question

Define Variables, write a system, solve, and answer question.

Ben is in charge of ordering meals for a flight on a jet plane that carries first class and coach passengers. Ben spends $5.50 on coach meals for passengers and $9.00 on meals for first class passengers. There are a total of 84 passengers on the plane. If he spends $493.50 all together, how many of each type of passenger is on the plane?

Answer 1

say,

x = coach passengers
y = first class passengers

Answer 2

There are a total of 84 passengers on the plane.

that gives,

x + y = 84 -----------------(1)

Answer 3

If he spends $493.50 all together

that gives,

5.5x + 9y = 494.5 --------------------(2)

Answer 4

you have 2 equations, 2 unknowns. you can solve easily

Answer 5

@ganeshie8 I still don't know what to do from there

Answer 6

do u knw substitution method ?

Answer 7

@ganeshie8 Yes but how am i supposed to substitute? I already tried x=84-y but I only get a negative number and that doesn't make sense when I answer the question

Answer 8

you pluggin in x = 84-y, in equation and you getting negative number for y is it ?
lets see

Answer 9

@ganeshie I'm getting a positive number for y and a negative number for x

Answer 10

5.5x + 9y = 494.5

5.5(84-y) + 9y = 494.5

462 - 5.5y + 9y = 494.5

3.5y = 32.5

y = 9.286

Answer 11

ok, thats what u got for y ?

Answer 12

@ganeshie8 It's 493.5 not 494.5

Answer 13

ok, what did u get for y ?

Answer 14

thanks for correcting :)

Answer 15

@ganeshie8 I got 9

Answer 16

5.5x + 9y = 493.5

5.5(84-y) + 9y = 493.5

462 - 5.5y + 9y = 493.5

3.5y = 31.5

y = 9

Answer 17

good :) i got the same

Answer 18

@ganeshie8 and x is 75?

Answer 19

Yes ! very good work :D

Answer 20

@ganeshie8 Thank You! :)

Answer 21

np :)