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The sum of Teresa's and Cathy's weight is 118 pounds. Teresa weighs 26 pounds more than Cathy. If Teresa's weight is T and Cathy's weight is C, write and solve a system of equations to represent this scenario.
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T + C = 118, (1)
T - C = 26. (2)
When you see two equations like these (1) and (2), ADD them immediately.
By doing it, you get
2T = 118 + 26 = 144. Hence T = = 72. It is Teresa weight, in pounds.
Knowing it, you can find Cathy's weight from (1):
C = 118 - T = 118 - 72 = 46 pounds.
Answer. Teresa weight is 72 pounds. Cathy's weight is 46 pounds.
Solved.