Question

tour busload of 45 people attended two Florida theme parks on successive days. On Day 1 the entrance fee was $15 per adult, $8 per child, $12 per senior citizen and the total charge was $558. On Day 2 the entrance fee was $20 per adult, $12 per child, $17 per senior citizen and the total charge was $771. How many adults, children, and senior citizens were on this tour bus

Answer 1

Answer: There are 22 adults , 12 children and 11 senior citizens on the tour bus.

Explanation:

Let adult = x

children = y

senior citizen = z

Given : Total busload (x+ y + z) = 45

Total charge on day 1 = 558 $ =
`15* x+8* y+12* z`

Total charge on day 2 = 771 $ =
`20* x+12* y+17* z`

Now we have 3 equations : x+ y+z =45

`15* x+8* y+12* z=558`

`20* x+12* y+17* z=771`

Solving for them we get: x= 22 , y = 12 and z= 11

Thus there are 22 adults , 12 children and 11 senior citizens.