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.

1 answer

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