Arian is making bracelets. for each bracelet, it takes 1/10 hour to pick out materials and 1/4 hour to braid it together. How many bracelets can Arian make in 5 hours?

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Answer:

About [tex]14[/tex] Bracelets

Step-by-step explanation:

To find the time it takes for Arian to make one bracelet, we must add the time it takes to pick out the materials and the time to braid it together, which would be [tex]\frac{1}{10} + \frac{1}{4}[/tex].

Now, we know about adding fractions with unlike denominators. We must find a common denominator for both. In this case, that would be [tex]20[/tex]. Using that, we can add up these two fractions easily!

[tex]\frac{1}{10} = \frac{2}{20}\\\\ \frac{1}{4} = \frac{5}{20}\\\\ \frac{2}{20} + \frac{5}{20} = \frac{7}{20}[/tex]

So, it takes [tex]\frac{7}{20}[/tex] an hour to make one bracelet.

But the equation asks how many bracelets Arian can make in five hours. Using the terminology previously found, we can divide the number of hours by the time it takes to make one bracelet. Let's see how that goes.

[tex]5 \div \frac{7}{20} = 5\cdot \frac{20}{7} = \frac{100}{7} = 14.29[/tex]

So, she can make about [tex]14[/tex] bracelets in five hours.

I hope this helps!