Two families buy tickets to some home games. The Murphy family has 4 members and goes to 7 games. The Chen family has 5 members and goes to 4 games. If the two families spend a total of $1200, and all seats cost the same amount, how much did the Murphys spend on tickets? PLS HELP 60PTS

the Murphys spent $700 on tickets.

Step-by-step explanation:

Let x represent the cost of one ticket to a game.

The Murphy family has 4 members and goes to 7 games. This means that the number of tickets that the Murphy's family bought is

4 × 7 = 28 tickets

The cost of 28 tickets would be

28 × x = $28x

The Chen family has 5 members and goes to 4 games. This means that the number of tickets that the Chen's family bought is

5 × 4 = 20 tickets

The cost of 20 tickets would be

20 × x = $20x

If the two families spend a total of $1200, it means that

28x + 20x = 1200

48x = 1200

x = 1200/48 = 25

A ticket costs $25

The total amount that the Murphys spend on tickets is

28 × 25 = $700