Question

Tiffany is sending a package that may not exceed 16 pounds. The package contains books that weigh A total of 93/8 pounds. The other items to be sent Weigh 3/5 the weights of the books. Well Tiffany be able to send the package?

Answer 1

Yes, Tiffany will be able to send the package, as the total package she has is 15 pounds.

Further Explanation

Let's say that:

Book package is x

Other package is y

so from the problem above we get:

x = $9\frac{3}{8}$

y= $\frac{3}{5}x$

x + y ≤ 16

First, we can change the mixed fraction into improper fraction:

x = $\boxed {9\frac{3}{8} = \frac{((9 \times8)+3)}{8} = \frac{75}{8} }$

$\boxed {y= \frac{3}{5}x }\\\boxed {y = \frac{3}{5} \times\frac{75}{8} }\\\boxed {y = \frac{225}{40} = 5\frac{25}{40} = 5\frac{5}{8} }$

So now, we can calculate the total package:

$\boxed {x + y = 9\frac{3}{8} + 5\frac{5}{8} = 14\frac{8}{8} = 15 }$

The total package is 15 pounds, which is less than the maximum weight that she can send.

Learn More

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Keyword: mixed fraction, improper fraction, additional mixed fraction

Answer 2

93/8 is equal to 11.625 or 11.6 pounds, which means yes, she can send the package. The other packages weighed 6.96 or 7 pounds in short just in case you needed to know that ;)