Explanation:
Let's first write the expressions for the prices of the tickets without the coupon:
The price of one adult ticket is $10.
The price of one child ticket is $5.
The price of one senior ticket is $8.
Let c be the number of child tickets, s be the number of senior tickets, and a be the number of adult tickets purchased. Then, the total price of the tickets without the coupon is:
10a + 5c + 8s
Now, let's incorporate the coupon, which takes $7 off the total price. This means the total price after the coupon is:
(10a + 5c + 8s) - 7
Simplifying this expression, we get:
10a + 5c + 8s - 7
Therefore, the expression for the total price of the tickets after the coupon is applied is:
10a + 5c + 8s - 7