SOLUTION: Fundraising. The St. Mark’s Community Barbecue served 250 dinners. A child’s plate cost $3.50 and an adult’s plate cost $7.00. A total of $1347.50 was collected. How many of each t
Algebra.Com
Question 153024: Fundraising. The St. Mark’s Community Barbecue served 250 dinners. A child’s plate cost $3.50 and an adult’s plate cost $7.00. A total of $1347.50 was collected. How many of each type of plate was served?
Answer by orca(409) (Show Source): You can put this solution on YOUR website!
Let x be the number of children.
Let y be the number of adults.
As the total number of dinners is 250, we have:
x + y = 250 ...................(1)
The amount of money from children: 3.5x
The amount of money from adults: 7y.
As the total is 1347.5,we have:
3.5x + 7y = 1347.5 ............(2)
Solving equations (1) and (2) simultaneously, we obtain:
x = 115
y = 135
So the numbers of children and adults are 115 and 135 respectively.
***************************************************************************
How to solve
x + y = 250 .................(1)
3.5x + 7y = 1347.5...........(2)
From (1), we get x = 250 - y. Substitute it into equation (2), we obtain:
3.5(250 - y) + 7y = 1347.5
875 - 3.5y + 7y = 1347.5
875 + 3.5y = 1347.5
3.5y = 472.5
y = 135
x= 250 - y = 115
RELATED QUESTIONS
Fundraising. The St. Mark’s Community Barbecue served 250 dinners. A child’s plate cost... (answered by jojo14344)
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)
Fundraising- The St. Marks Community Barbecue served 250 dinners. A child's plate cost... (answered by checkley77)
The Downtown Community Barbecue served 335 dinners. A child’s plate cost $3.40 and an... (answered by ReadingBoosters)
Fundraising. The Buck Creek Fire Department served 250 dinners. A child’s plate cost... (answered by ikleyn)
The St. Mark Community babecue served 250 dinners. Achilds plate cost $3.50 and an adult... (answered by alicealc,rfer)
The St. Mark's Community Barbecue served 250 dinners. A child's plate cost $7.00. A... (answered by stanbon)