Debbie is selling tickets for a spaghetti dinner night. Adult tickets, a, are $10 and children tickets, c, are $5. Sixty percent of the total tickets sold will be given to a local charity. Write a simplified expression to represent how much money will go to the charity.

Proceeds = 10a + 5c

amount going to charity
= (6/10)(10a + 5c)
= 6a + 3c

To find the amount of money that will go to the charity, we need to find 60% of the total ticket sales.

Let's break it down step by step:

Step 1: Determine the total number of tickets sold.
To find the total number of tickets, you need to add the number of adult tickets sold (a) and the number of children tickets sold (c).

Total tickets sold = a + c

Step 2: Calculate 60% of the total tickets sold.
To find 60% of a number, you multiply it by 0.60.

60% of total tickets sold = 0.60 * (a + c)

Step 3: Calculate the amount of money that will go to the charity.
Since each adult ticket costs $10 and each child ticket costs $5, the amount of money from each ticket that goes to the charity will be the same.

Amount from each ticket going to charity = $10 (for an adult ticket) + $5 (for a child ticket) = $15

Finally, we can find the amount of money that will go to the charity by multiplying the amount from each ticket by the number of tickets going to the charity.

Amount of money going to charity = 0.60 * (a + c) * $15

So, the simplified expression to represent the amount of money that will go to the charity is:

0.60 * (a + c) * $15