Question

Which two equations can you use to find the adult and child admission fees for a puppet show? Let a represent the fee for adults and c represent the fee for children.

A) 45c + 30a = 315


B) 45a + 50c = 315
C) 45a + 30c = 315
D) 50c + 40a = 370
E) 50a + 40c = 370

Answer 1

`45a + 30c = 315 \\ 50a + 40c = 370`
The answers are C and E

Hope this helps. - M

Answer 2

The two equations can you use to find the adult and child admission fees for a puppet show are
`45a+30c=315` and
`50a+40c=370`

Explanation:

Let a represent the fee for adults

Let c represent the fee for children.

On day 1 number of adults = 45

So, fees of 45 adults = 45a

On day 1 number of children= 30

So, fees of 30 children = 30c

Total collection on day 1 = 315

So, equation becomes :
`45a+30c=315`

On day 2 number of adults = 50

So, fees of 50 adults = 50a

On day 2 number of children= 40

So, fees of 40 children = 40c

Total collection on day 2 = 370

So, equation becomes :
`50a+40c=370`

Thus the two equations can you use to find the adult and child admission fees for a puppet show are
`45a+30c=315` and
`50a+40c=370`

Hence Option C and E is true.