SOLUTION: Fundraising: The Buck Creek fire department served 250 dinners. A child's plate cost $5.50 and an adult's plate cost $9.00. A total of 1935 was collected. How many of each type

Algebra.Com
Question 756848: Fundraising:
The Buck Creek fire department served 250 dinners. A child's plate cost $5.50 and an adult's plate cost $9.00. A total of 1935 was collected. How many of each type of plate was served.

Answer by sachi(548)   (Show Source): You can put this solution on YOUR website!
let there are x children so no of adults=250-x
as per question
x*5.5+(250-x)*9=1935
or 5.5x+2250-9x=1935
or -3.5x=1935-2250=-315
or x=315*3.5=90
so there are 90 children so no of adults=160

RELATED QUESTIONS

Fundraising. The Buck Creek Fire Department served 250 dinners. A child’s plate cost... (answered by ikleyn)
Fundraising. The St. Mark’s Community Barbecue served 250 dinners. A child’s plate cost... (answered by jojo14344)
Fundraising. The St. Mark’s Community Barbecue served 250 dinners. A child’s plate cost... (answered by orca)
4. Fundraising. The St. Mark’s Community Barbecue served 250 dinners. A child’s plate... (answered by benazir.sj@gmail.com)
The St. Mark’s Community Barbecue served 250 dinners. A child’s plate cost $3.50 and an... (answered by PRMath)
The St. Mark’s Community Barbecue served 250 dinners. A child’s plate cost $3.50 and an... (answered by PRMath)
The Downtown Community Barbecue served 335 dinners. A child’s plate cost $3.40 and an... (answered by ReadingBoosters)
Fundraising- The St. Marks Community Barbecue served 250 dinners. A child's plate cost... (answered by checkley77)
The Downtown Community Barbecue served 238 dinners. A child’s plate cost $3.10 and an... (answered by rfer)