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The system of equations is d+b=12 and 2.59d+5.49b=36.88 and Meaghan bought 10 packages of hot dogs and 2 packages of hamburgers.
Step-by-step explanation:
Cost of one package of hot dog = $2.59
Cost of one package of hamburgers = $5.49
Packages bought = 12
Cost of packages = $36.88
Let,
Packages of hot dogs = d
Packages of hamburger = b
According to given statement;
d+b=12 Eqn 1
2.59d+5.49b=36.88 Eqn 2
Multiplying Eqn 1 by 2.59
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 2.90
Putting b=2 in Eqn 1
The system of equations is d+b=12 and 2.59d+5.49b=36.88 and Meaghan bought 10 packages of hot dogs and 2 packages of hamburgers.
Keywords: linear equation, elimination method
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