Eloahcute Eloahcute

12-12-2022
Mathematics

Answered

Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 12 people took the trip. She was able to purchase coach tickets for $190
and first class tickets for $1060. She used her total budget for airfare for the trip, which was $5760. How many first class tickets did she buy? How many coach tickets did she buy?
number of first class sickets bought

Answer :

BhawnaKumari BhawnaKumari

15-12-2022

Sarah bought 8 coach ticket and 4 first class ticket

What do two-variable linear equations mean?

Therefore, a linear equation in two variables is any equation that can be written in the form ax + by + c = 0, where a, b, and c are real values, and a and b are not equal to zero. This implies that you can come up with a ton of these equations. The answer to I 2x + 3y = 4.37 is 2x + 3y - 4.37 = 0.

For this issue, you can construct an equation system. x is the quantity of coach tickets, while y is the quantity of first-class tickets.

$190x + $1060y = $5760 (cost of coach ticket plus cost of first class tickets is entire budget) (cost of coach ticket plus cost of first class tickets is total budget)

x + y = 12 The total number of passengers is equal to the sum of the number of coach tickets and first-class tickets.

To find y = 12 - x, first solve for x in the second equation, then plug the result into the first equation:

$190x + $1060(12 - x) = $5760

$190x + $12720 - $1060x = $10,230

-$870x + $12720 = $5760

-$870x = -$6960

x = 8

Sarah purchased x = 8 coach tickets. Connect that to the second equation and find y:

8 + y = 12

y = 4

In first class, Sarah purchased y = 4 tickets.

Learn more about linear equations

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