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Layna's rectangular green wall

Source: 2014-2015 SDML Middle School 1b Problem 3

August 28, 2016
2014-15 SDML Round 1SDML Middle School

Problem Statement

Layna wants to paint a rectangular wall green, but she only has blue and yellow paint. She finds that a 2:12:1 mix of blue paint to yellow paint produces the color green she wants, and she knows that one gallon of paint will cover 8080 square feet of wall. If the wall is 88 feet tall and 2121 feet long, how many gallons of blue paint does Layna need? Express your answer as a fraction in simplest form.