A firm making fertiliser produces a new fertiliser QuickGrow. Each 50 kg bag of QuickGrow contains x kg of compound X and (50 – x) kg of compound Y. Each kilogram of X contains 150 g of a particular element and each kilogram ofY contains 80 g of this element. The company wants each 50 kg of QuickGrow to contain 6.24 kg of this element. a Find i an expression in terms of x for the amount of the particular element contained in x kg of compound X and state the units, ii an expression in terms of x for the amount of the particular element contained in (50 – x) kg of compound Y and state the units. b How much of each compound, X and Y, should each 50 kg of QuickGrow contain to give the desired total amount of the particular element?

Algebra and Trigonometry (6th Edition)
6th Edition
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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A firm making fertiliser produces a new fertiliser QuickGrow. Each 50 kg bag of QuickGrow
contains x kg of compound X and (50 – x) kg of compound Y. Each kilogram of X contains
150 g of a particular element and each kilogram of Y contains 80 g of this element. The company
wants each 50 kg of QuickGrow to contain 6.24 kg of this element.
a
Find
i an expression in terms of x for the amount of the particular element contained in
x kg of compound X and state the units,
an expression in terms of x for the amount of the particular element contained in
(50 – x) kg of compound Y and state the units.
How much of each compound, X and Y, should each 50 kg of QuickGrow contain to give the
desired total amount of the particular element?
ii
b
Transcribed Image Text:A firm making fertiliser produces a new fertiliser QuickGrow. Each 50 kg bag of QuickGrow contains x kg of compound X and (50 – x) kg of compound Y. Each kilogram of X contains 150 g of a particular element and each kilogram of Y contains 80 g of this element. The company wants each 50 kg of QuickGrow to contain 6.24 kg of this element. a Find i an expression in terms of x for the amount of the particular element contained in x kg of compound X and state the units, an expression in terms of x for the amount of the particular element contained in (50 – x) kg of compound Y and state the units. How much of each compound, X and Y, should each 50 kg of QuickGrow contain to give the desired total amount of the particular element? ii b
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