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A landscape contractor has a stockpile containing 50 cu yd of topsoil. One job requires 11-(1)/(2) cu yd, and two small jobs require 4-(1)/(4)4 cu yd each. How much topsoil is left in the stockpile?

User James Hu
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Final answer:

After performing all of the jobs requiring topsoil, the landscape contractor would have 30 cu yd of topsoil remaining in the stockpile.

Step-by-step explanation:

The landscape contractor is starting with a stockpile of 50 cu yd of topsoil. One job requires 11-(1)/(2) cu yd, which is 11.5 cu yd. Thus, after this job, the contractor has 50 - 11.5 = 38.5 cu yd of topsoil left. Two other small jobs require 4-(1)/(4) cu yd each, which is 4.25 cu yd each. Together, these 2 jobs would require 2 * 4.25 = 8.5 cu yd of topsoil. So after these 2 jobs are completed, the contractor will have 38.5 - 8.5 = 30 cu yd of topsoil left in the stockpile.

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