# Question #eb630

Oct 17, 2017

#### Explanation:

There are $240$ minutes in $4$ hours. The number of bracelets you can make is equal to $\frac{240}{45}$, which is $5.3 \overline{3}$. Therefore, in $4$ hours, you can complete $5$ bracelets.

Oct 22, 2017

$4 h$ will be enough time to make $5$ bracelets.

But, you may want to go for $6$.

#### Explanation:

If you can make a bracelet in $45$ minutes (under an hour) and you have four hours, then you know you can make at least $4$ bracelets.

Can you make any more in the four hours?
In each of those four hours, you had $60 m - 45 m = 15 m$ or

$4 \times \frac{1}{4} h = 1 h$ left over.

So you do have time to make the fifth bracelet. [ANS]

Do you want to make any more in the four hours?
Is it possible to make $6$ bracelets in $4 h$?

$4 h = \left(\frac{60 m}{1 h r}\right) 4 h r \to$ notice the $6$ and $4$ in both equations.

From there we can guess that $6$ bracelets can be made in $4 h$ iff we reduce the manufacturing time for each to $40 m$.

Then: $4 h = \left(\frac{60 m}{1 h r}\right) 4 h r = 240 m$

And: $6$ bracelets $\times 40 m = 240 m$.