SOLUTION: Andy weighs 21 pounds more than Rhoda. Their combined weight is 141 pounds less than four times Rhoda's weight. How much does Rhoda weigh?
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Question 755591: Andy weighs 21 pounds more than Rhoda. Their combined weight is 141 pounds less than four times Rhoda's weight. How much does Rhoda weigh?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Rhoda = x
Andy = x + 21
x + (x + 21) = (141 - 4x)
2x + 21 = 141 - 4x
Collect like terms, remembering
to change signs as you change sides.
2x + 4x = 141 - 21
6x = 120
x = 20lbs
Rhoda weighs 20lbs
Proof:
x + (x + 21) = (141 - 4x)
20 + (20 + 21) = (141 - 4(20))
20 + 41 = 141 - 80
61 = 61
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