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

Answer:

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

Step-by-step 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.

Answer 2

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

Hope this helps. - M