Question
A group of 148 people is spending five days at a summer camp. The cook ordered 12 pounds of food for each adult and 9 pounds of food for each child. A total of 1410 pounds of food was ordered. Write a system of equations that describes this situation, and define your variables. Solve the system of equations, find the number of adults and number of children that were at the camp.
Answers
Randy
Set x as your adults y as your children
12 x + 9 y = 1410 pounds of food
x+y = 148
2 equations 2 unknowns solve for y in second and put that into first equitation.
12x + 9(148-x) = 1410
3x + 1332 = 1410
x= 26 Adults, 148 - 26 = 122 childeren
12 x + 9 y = 1410 pounds of food
x+y = 148
2 equations 2 unknowns solve for y in second and put that into first equitation.
12x + 9(148-x) = 1410
3x + 1332 = 1410
x= 26 Adults, 148 - 26 = 122 childeren