Roy weighs 150 pounds and plans to lose 1.5 pounds a week. Luis weighs 200
pounds and plans to lose 2.5 pounds a
week. Which equation shows when Roy
and Luis will weigh the same? Use x for
the number of weeks.

A 150 + 1.5x = 200 + 2.5x
B 150 - 1.5x = 200 - 2.5x
C 150 + 1.5x = 200 - 2.5x

50 weeks

Explanation:

Given that :

ROY:

Initial weight = 150 pounds

Weight loss per week = 1.5 pounds

LUIS:

Initial weight = 200 pounds

Weight loss per week = 2.5 pounds

Let x = Number of weeks

Number of weeks when both Luis and Roy will weigh the same:

150 - 1.5x = 200 - 2.5x

-1.5x + 2.5x = 200 - 150

x = 50

Hence, Roy and Luis will weigh the same after 50 weeks

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