Hal and Sal are planning their wedding. The Gold Ring Catering Company has given a quote for preparing food for 95 people at the reception. The total cost would be $1,955. The company charges $22 for each adult and $13 for each child. The total cost of the children attending was 195 dollars. Their friends Katarina and Melanie last minute plan to attend the wedding. They would like to bring their 2 children as well. How many adults and children were originally going to attend? How much more will Hal and Sal have to pay if they add 2 adults and 2 children to their wedding bill? What will the new total cost be? Explain all the steps in the process you used to answer the question.
Let x be the number of adults originally going to attend the wedding.
The number of children originally going to attend the wedding is 95 - x.
The cost of the adults attending is 22x.
The cost of the children attending is 195 dollars.
The total cost of food for the original attendees is 22x + 195.
So, 22x + 195 = 1955.
Therefore, 22x = 1955 - 195 = 1760.
So, x = 1760 / 22 = 80.
The number of children originally going to attend the wedding is 95 - 80 = 15.
If Hal and Sal add 2 more adults and 2 more children, the total number of adults will be 80 + 2 = 82.
The total number of children will be 15 + 2 = 17.
The cost of the additional adults is 2 * 22 = 44 dollars.
The cost of the additional children is 2 * 13 = 26 dollars.
The new total cost will be 22 * 82 + 13 * 17 + 44 + 26 = 1804.
Therefore, Hal and Sal will have to pay 1804 - 1955 = 151 dollars more if they add 2 adults and 2 children to their wedding bill.