Question

Sam bought a jacket for $34, which is one-third of the original price. How much did thejacket cost originally?

Answer 1

Let the original cost of the jacket be x.

Now, saying that one-third of the original cost of the jacket is $34, is mathematically equivalent to:

`(1)/(3)* x=34`

Now we have to solve the resulting equation in order to obtain the value of x

This is done as follows:

`(1)/(3)* x=34`
`\Rightarrow(x)/(3)=34`
`\Rightarrow x=3*34`
`x=102`

Therefore, the original cost of the jacket is $102