The weight of the Alis dog is [tex]\fbox{\bf48}[/tex] pounds.
Further explanation:
Consider the weight of the Alis dog as [tex]x[/tex] pounds and weight of the cat as [tex]y[/tex] pounds.
Since, the weight of the Alis dog is 8 times the weight of the cat. It can be written as follows:
[tex]x=8y[/tex] ......(1)
Now, the total weight of the cat and dog are given as 54 pounds. It can be written as follows:
[tex]x+y=54[/tex] ......(2)
From equation (1), substitute [tex]8y[/tex] for [tex]x[/tex] in equation (2).
[tex]\begin{aligned}8y+y&=54\\9y&=54\\y&=\dfrac{54}{9}\\y&=6\end{aligned}[/tex]
Thus, the weight of the cat is 6 pounds.
Substitute 6 for [tex]y[/tex] in equation (1) to obtain the weight of Alis dog as follows:
[tex]\begin{aligned}x&=8(6)\\&=48\end{aligned}[/tex]
Thus, the weight of the Alis dog is 48 pounds.
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Answer Details :
Grade: Middle School .
Subject: Mathematics .
Chapter: linear equation.
Keywords:
lines, equation, pound, Alis dog, cat, weight, linear equation, zeros, x,y,x=8y,x+y=54, function, substitution, pets, direct substitution, elimination, graph, middle term factorization, fraction.
