A travel agency offers two Dallas outings. Plan A includes hotel accommodations for three nights and two pairs of Texas Rangers
baseball tickets worth a total of $557. Plan B includes hotel accommodations for five nights and four pairs of Rangers baseball tickets worth $974. Find the cost of one night’s hotel accommodations and the cost of one pair of baseball tickets.
We let x as the cost of one night’s hotel accommodations and y as the
cost of one pair of baseball tickets. For plan A, we can generate the equation as
3x + 2y = $557 and for plan B; 6x + 4y = $1114
Using elimination, we can write the two as:
3x + 2y = 557
5x + 4y = 974
Multiply both eq. 1 by 2 to eliminate y
2(3x + 2y = 557)2
6x + 4y = 1114
We now have
6x + 4y = 1114
5x + 4y = 974 ⇒ subtract
X = 140
Substitute x to either equation to get the value of y
