Question

Solve the system of system of equations to find the nightly hotel cost and the cost for each pair of amusement park tickets. Trip A, Number of Nights 5, Tickets 4, Cost $725,

Trip B, Number of Nights 3, Tickets 2, Cost $415 5x+4y=725 3x+2y=415

Answer 1

(105$, 50$)

X= 105, Y=50

Answer 2

We get x = 105 & y = 305/4 after solving the given system of equations.

Explanation:

Given:

5 x + 4 y = 725......................(i)

3 x + 2 y = 415.......................(ii)

Multiply by 2 in equation (ii)-

We get,

6 x + 4 y = 830....................(iii)

Now,

Subtract equation (i) from equation (iii)-

6 x + 4 y = 830

5 x + 4 y = 725

x = 105

Put x = 105 in equation (i)-

5 × 105 + 4 y = 830

525 + 4 y = 830

4 y = 830 - 525

4 y = 305

y = 305/4

Hence x = 105 & y = 305/4.