Question

T=s+.50 T=0.25s+1.70 In the equation above t and a represent the weight in tons of a sedan and of a truck, respectively. What is the weight of a sedan in tons

Answer 1

The weight of a sedans in tons is 2.1 tons.

Explanation:

Given : Equations
`T=s+0.50` and
`T=0.25s+1.70` 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,

`T=s+0.50` ......(1)

`T=0.25s+1.70` .....(2)

As LHS is equate we equate RHS,

`s+0.50=0.25s+1.70`

`s-0.25s=1.70-0.50`

`0.75s=1.2`

`s=(1.2)/(0.75)`

`s=1.6`

Substitute in equation (1),

`T=1.6+0.50`

`T=2.1`

Therefore, the weight of a sedans in tons is 2.1 tons.