Question

Cameron & Brett are trying to sell upper & lower level tickets to two Diamondbacks game to raise money for their club baseball team. They sold 5 lower level & 9 upper level tickets to the first game for a total of $303. They sold 8 lower level & 10 upper level tickets to the second game for a total of $410. How much money did the people pay for lower level & upper level tickets to go to a Diamondbacks game?

Answer 1

30 Lower level tickets

17 upper level tickets

Explanation:

Let:

Lower level tickets = l

Upper level tickets = u

5l + 9u = 303 - - - (1)

8l + 10u = 410 - - - - - (2)

Multiply (1) by 8 and (2) by 5

40l + 72u = 2424 - - - (3)

40l + 50u = 2050 - - - (4)

Subtract (3) from (4)

22u = 374

u = 374 / 22

u = 17

Put u = 17 in (1)

40l + 72(17) = 2424

40l + 1224 = 2424

40l = 2424 - 1224

40l = 1200

l = 1200 / 40

l = 30

30 Lower level tickets

17 upper level tickets