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
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.
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