High School

Troy weighs 157 pounds. At least how many pounds must he lose to wrestle in the 152-pound weight class?

Define a variable and write an inequality to solve the problem.

Answer :

The least amount of weight Troy must lose is 5 pounds i.e x ≥ 5

What is variable?

A variable is a quantity that may change within the context of a mathematical problem or experiment.

For example in the expression 5x+2, the variable here is x and the constants are 5 and 2.

The present weight of Troy is 157 pounds, The normal weight class to wrestle is 152 pounds.

Representing x for the weight he must atleast lose.

Then, 157-x ≤ 152

collecting like terms

157-152 ≤ x

5 ≤ x

x ≥ 5

therefore the least amount of weight he must lose is 5 pounds.

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