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

Sagot :

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:

[tex]\frac{1}{3}\times x=34[/tex]

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

This is done as follows:

[tex]\frac{1}{3}\times x=34[/tex][tex]\Rightarrow\frac{x}{3}=34[/tex][tex]\Rightarrow x=3\times34[/tex][tex]x=102[/tex]

Therefore, the original cost of the jacket is $102

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