Investigation #11
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An equation states that two quantities are
equal.
In the equation A = 5 + 0.5d
A and 5 + 0.5d are the two quantities.
They both represent how much money that
Diana collects from each sponsor.
Since each quantity represents numbers, we
can use the properties of numbers to solve
equations with one unknown.
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A = 5 + 0.5d
A
5 + 0.5d
=
To be equal, both sides of the equation must have
the same value. This is a balanced equation.
So if A = 10 then the other side of the equal sign (5 + 0.5d) must also equal 10.
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This equation states that 85 and 70 + 15 are
equal.
If I subtract 15 from the left had side of the
original equation, what do I have to do to
maintain equality?
If I add 10 to the right hand side of the equation,
what do I have to do to maintain equality?
If I divide the left hand side of the equation by 5,
what do I have to do to maintain equality?
If I multiply the right hand side of the equation
by 4, what do I have to do to maintain equality?
In this kingdom the ambassadors carry diplomatic
pouches.
 The content of the pouches are unknown except by
the ambassadors.
 Ambassador Noah wants to send one dollar gold
coins to another country.
 His friend Laura, who is a mathematician, helps him
devise a scheme based on equality for keeping track
of the number of one dollar coins in each pouch.
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Each pouch contains the same number of one
dollar gold coins.
The number of gold coins on both sides of the
equality sign is the same, but some coins are
hidden in the pouches.
Your job today will be to find out the number
of gold coins hidden in the pouches!
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Luisa & Brittny
Aliah & Yael
Victoria & Trevor
Jessica & Lindsi
Kyle & Sam
Kairash & Marco
Donique & Ashley
Alex & Austin
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Myah & Isa
Karrah & Cecilia
Nestor & Rafeal
Lauren & Gaige
Orlando & Carly
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Baxter & Brenna
Grant & Christian
Maxine & Noah
Skylar & Jackson
Sterling & Jennifer
Madison & Sierra
Dylan & Amasjai
Elizabeth & Ben
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Austin & Gage
Laura & Abbie
Angelo & Auriya
Victoria & Taylor
Chase & Alyx
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Diana & Issamar
Matt & Tia
Serena & Elijiah
Cassandra & Elena
Michael & Jon
Jazmyn & Alex
Tatum & Jade
Saul & Lauren
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Alexa & Alicia
Nick & Michelle
Jesus & Thadius
James & Ana
Kristen & Nathan