Question

Luke started a weight-loss program. the first week, he lost x pounds. the second week, he lost 3/2 pounds less than 3/2 times the pounds he lost the first week. the third week he lost 1 pound more than 3/4 of the pounds he lost the first week liam started a weight loss program when luke did. the first week, he lost 1 pound less than 3/2 times the pounds luke lost the first week the second week, he lost 4 pounds less than 5/2 times the pounds luke lost the first week. the third week, he lost 1/2 pound more than 4 times the pounds luke lost the first week assuming they both lost the same number of pounds over the three weeks, complete the following sentences 2 pounds 4 pounds - 6 pounds 41 - - -the expression for luke's weight loss over the three weeks is __ -the expression for liam's weight loss over the three weeks -the number of pounds luke lost in the first week -the number of pounds luke and liam each lost over the three weeks

Answer 1

The expression for Luke's weight loss over the three weeks is:
(x) + (x - 2/3) + (3/4x + 1) = ...
The expression for Liam's weight loss over the three weeks is:
(3/2x - 1) + (5/2x - 4) + (5/4x + 1/2) = ...
Since they both lost the same amount, the above expressions should be equal.
Simplify the above two and solve the equation for x.
Then find the amount lost by each.
Let me know if anything is not clear.