Noah spent 25 hours working on his car. He spent $\frac{4}{5}$ $4/5$ of his time working on the transmission. How much time did Noah spend working on the transmission?

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Answer 1 · 2018-03-31T23:52:29

See below.

To solve this problem, you have to set up a proportion.

$\frac{x}{25}$ $x/25$ $=$ $=$ $\frac{4}{5}$ $4/5$

In this problem $x$ $x$ is how any hours Noah spent on transmission.
To find $x$ $x$ you have to cross multiply.

$x$ $x$ $\cdot$ $*$ $5$ $5$ $=$ $=$ $5 x$ $5x$

$25$ $25$ $\cdot$ $*$ $4$ $4$ $=$ $=$ $100$ $100$

Now, you have to divide the product of the constants constants that don't have a variable ( $24$ $24$ and $4$ $4$ ) by $5$ $5$ to find $x$ $x$ .

$100$ $100$ $\div$ $÷$ $5$ $5$ $=$ $=$ $20$ $20$

Our final answer for $x$ $x$ is $20$ $20$ .

Noah spent a total of $20$ $20$ hours, or $\frac{4}{5}$ $4/5$ of his $25$ $25$ hours, working on transmission.

I hope this helps (:

Noah spent 25 hours working on his car. He spent 4/5454/5 of his time working on the transmission. How much time did Noah spend working on the transmission?