Answer :
The weight of a sedans in tons is 2.1 tons.
Step-by-step explanation:
Given : Equations [tex]T=s+0.50[/tex] and [tex]T=0.25s+1.70[/tex] where T and s represents the weight in tons of a sedan and of a truck, respectively.
To find : What is the weight of a sedan in tons ?
Solution :
Solving equations,
[tex]T=s+0.50[/tex] ......(1)
[tex]T=0.25s+1.70[/tex] .....(2)
As LHS is equate we equate RHS,
[tex]s+0.50=0.25s+1.70[/tex]
[tex]s-0.25s=1.70-0.50[/tex]
[tex]0.75s=1.2[/tex]
[tex]s=\frac{1.2}{0.75}[/tex]
[tex]s=1.6[/tex]
Substitute in equation (1),
[tex]T=1.6+0.50[/tex]
[tex]T=2.1[/tex]
Therefore, the weight of a sedans in tons is 2.1 tons.
