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Creating algebraic expressions

1. Three prizes are to be distributed in a Creative Design Talent Search Contest. The value of the second prize is five-sixths the value of the first prize, and the value of the third prize is fourth-fifths that of the second prize.
a. Express the total value of the three prizes as an algebraic expression.
b. Comment on the kind of factors of the simplified algebraic expression

Solution Preview

Let the value of the 1st prize = x
value of second prize = y = x*5/6
value of the third prize = z = ...

Solution Summary

This shows how to create and evaluate an algebraic expression for a given situation.