Mrs. Aquino hired a caterer for her son's graduation party. • The caterer charges $135 to cater a party for 10 or fewer people. • For every 2 additional people who attend the party, the caterer charges $15 extra. • Mrs. Aquino spends $225 on catering for the party. How many people are attending the party? ____ people

Question

Mrs. Aquino hired a caterer for her son's graduation party.     • The caterer charges $135 to cater a party for 10 or fewer people.   • For every 2 additional people who attend the party, the caterer charges $15 extra.   • Mrs. Aquino spends $225 on catering for the party.   How many people are attending the party?   ____ people

Bytelearn · Accepted Answer

Calculate Extra Charge: First, let's find out how much extra Mrs. Aquino paid beyond the base charge for 10 people.  $225 (total spent) - $135 (base charge) = $90 (extra charge).Determine Sets of Additional People: Now, we need to figure out how many sets of 2 additional people this extra charge represents.  $90 (extra charge) / $15 (charge per additional 2 people) = 6 sets of 2 additional people.Calculate Total Additional People: Since each set represents 2 additional people, we multiply the number of sets by 2 to find the total number of additional people.  6 sets * 2 people per set = 12 additional people.Find Total Number of People: Finally, we add the additional people to the base number of 10 people to find the total number of people attending the party.  10 people (base) + 12 people (additional) = 22 people.

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