Equation will be the lbs of food ordered




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Problem #2: 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 1,410 pounds of food was ordered. What is the total number of adults and total number of children in the group?
X + Y = 148 Let X = the number of adults and Y= the number of kids 12X + 9Y = 1,410 The 2nd equation will be the lbs of food ordered
-9(X + Y = 148) Multiply by a number to get a negative X or Y
12X + 9Y = 1,410 Line the equation up and Y cancels out

-9X + -9Y = -1,332


12X = 1,410 Add the equations

-9X = -1,332


3X = 78 Divide 3 from 3 and 78

__ __


3 3
X = 26 Place the answer in for one of the equations above
X(26) + Y = 148 Multiply
26 + Y = 148 Subtract 26 from 26 and 148
Y = 122 Finish writing the equation
(26,122) X on the left Y on the right



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