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IW 4 (Cycles 9-11)

by Grade 9 Mathematics

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IW4
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IW 4
(Cycles 9 - 11)
Grade 9 Mathematics
IW 4
(Cycles 9 - 11)
SYSTEMS OF LINEAR EQUATIONS IN TWO VARIABLES

Ever since Archimedes jumped out of the tub shouting, “Eureka!”, students in science have known how to use Archimedes’ fluid displacement principle relating the mass of an object to its volume. The relationship enabled  Archimedes to prove that his King’s “gold” crown was a forgery. 
Guide Card
Grade 9 Mathematics
IW4
SY 2022 - 2023
Archimedes in bathtub. (2022). TheSchoolRun.com. Retrieved November 11, 2022, from https://www.theschoolrun.com/homework-help/archimedes.
Guide Card
Grade 9 Mathematics
IW4
SY 2022 - 2023
Grade 9 Mathematics IW 4 (Cycles 9-11)
Guide Card SY 2022 - 2023
A suspicion that a “gold” crown contained some silver was verified by using a system of linear equations. The crown was found to weigh 45 ounces  with a volume of 5 cubic inches. Gold weighs 11 ounces per cubic inch while silver weighs 6 ounces per cubic inch. Is there silver mixed with the gold, and if so, how much? Representing the volume of gold per cubic inch as x and the volume of silver per cubic inch as y, the given situation was expressed as the system of equations, as follows:
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