There are 195 adults and 320 children at a zoo. The zoo makes a total of $6,515 from the entrance fees, and the cost of an adult and a child to attend is $27, how much does it cost each for a parent and a child? Let a represent an adult. Let c represent a child. Enter a system of equations to represent the situation, then solve the system.

a+c=27

195a+320c=6515

Step-by-step explanation:

adult (a): 195

children (c): 320

total $: $6515

child $: 27

a+c=27 --> c=-a+27

195a+320c=6515

sub the first equation into the 2nd equation to get a=17

sub a=17 into c=-a+27 to get c=10

so, an adult ticket is $17 and a child ticket is $10.

9.

Step-by-step explanation:

We have been given that dimensions of original photo are 4 inches by 6 inches. We want the photo on the poster to be of dimensions 3 feet by 4 1/2 feet.            

First of all we will convert dimensions of poster from feet to inches.

Now let us compare sides of our original photo with corresponding sides of poster.

Now let us compare the second pair of corresponding sides.

We have seen that sides of poster are 9 times the sides of our original photo, therefore, the scale factor of this dilation is 9.