Problem of the Week

Updated at Jul 18, 2022 4:20 PM

This week's problem comes from the equation category.

How would you solve 4(u5+2)4=145\frac{4(\frac{u}{5}+2)}{4}=\frac{14}{5}?

Let's begin!



4(u5+2)4=145\frac{4(\frac{u}{5}+2)}{4}=\frac{14}{5}

1
Cancel 44.
u5+2=145\frac{u}{5}+2=\frac{14}{5}

2
Subtract 22 from both sides.
u5=145−2\frac{u}{5}=\frac{14}{5}-2

3
Simplify  145−2\frac{14}{5}-2  to  45\frac{4}{5}.
u5=45\frac{u}{5}=\frac{4}{5}

4
Multiply both sides by 55.
u=45×5u=\frac{4}{5}\times 5

5
Cancel 55.
u=4u=4

Done
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