# 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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