Write an algebraic equation for the following problem and then solve it. A landscaping company needs 200 gallons of 18% fertilizer to fertilize the shrubs in an office park. They have in stock 25% fertilizer and 15% fertilizer. How much of each type should they mix together?

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Write an algebraic equation for the
following problem and then solve it.
A landscaping company needs 200
gallons of 18% fertilizer to fertilize the
shrubs in an office park. They have in
stock 25% fertilizer and 15% fertilizer.
How much of each type should they
mix together?
Let x = the number of gallons of 25%
fertilizer to be used. Write
an expression, in terms of x, that is
equal to "200 gallons of 18% fertilizer".
= 0.18(200)
(Use integers or decimals for any
numbers in the expression.)
Transcribed Image Text:Write an algebraic equation for the following problem and then solve it. A landscaping company needs 200 gallons of 18% fertilizer to fertilize the shrubs in an office park. They have in stock 25% fertilizer and 15% fertilizer. How much of each type should they mix together? Let x = the number of gallons of 25% fertilizer to be used. Write an expression, in terms of x, that is equal to "200 gallons of 18% fertilizer". = 0.18(200) (Use integers or decimals for any numbers in the expression.)
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x=number of gallons of 25% fertilizer to be used (so the amount of fertilizer is 0.25x)

y=number of gallons of 15% fertilizer to be used (so the amount of fertilizer is 0.15y)

the company needs 200 gallons of fertilizer

x+y=200

y=200-x

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