SOLUTION: P2P # 3 Seventh Grade Pre-Algebra � Weighin�In James, Henry, and Simon are volunteering on a farm for a long weekend. They walk into the barn, notice a scale used to weig

Question 847626: P2P
#
3
Seventh Grade Pre-Algebra �
Weighin�In
James, Henry, and Simon are volunteering on a farm for a long weekend.
They walk into the barn, notice a scale used to weigh cattle, and decide to weigh themselves. However, the scale begins at 100 kg, and no one boy weighs more than 100 kg� even James who was sure that he weighed the most. They decide to weigh themselves in pairs and found these amounts.
Henry + Simon = 132 kg
Simon + James=151 kg
James + Henry= 137 kg
What did each boy weigh in pounds?
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
H + S = 132
S + J = 151
J + H = 137
Call these equations 1,2,3.
From equation 1:
H = 132-S (eq 4)
Substitute into eq 3:
J + 132-S = 137
J - S = 5 (eq 5)
Adding together (2) and (5)
J+S = 151
J-S = 5
----------
2J = 156
J = 78
Back to eq 5
78 - S = 5
S = 73
Back to eq 1
H + 73 = 132
H = 59

Harry 59,Simon 73,James 78

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