Tiffany is sending a package that may not exceed 16 pounds. The package contains books that weigh a total of 9 3/8 pounds.The other items to be sent weigh 3/5 of the books.Will Tiffany be able to send the package? Show your work.

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Answer 1 · 2018-02-22T07:53:33

Yes, Tiffany will be able to send the package, as it will weigh 15 pounds.

#9 3/8 = (9*8+3)/8 = 75/8#

The other items weigh #3/5# what the books weigh, so we multiply as follows:

#75/8*3/5 = 225/40 = 5 25/40# which simplifies to #5 5/8#.

We then add #9 3/8 + 5 5/8 = 14 8/8 = 15#

Therefore, the total weight of the package will be 15 pounds, which is 1 pound less than the maximum weight she can send.

Answer 2 · 2018-02-22T09:06:40

The parcel will weight #15# pounds so she can send it.

You can do this with one calculation if you realise that you need to increase #9 3 /8# by #3/5# of its weight.

The new weight will be #1 + 3/5 = 1 3/5# of the original weight.

#9 3/8 xx 1 3/5# will give the increased weight.

#=75/8 xx 8/5#

#=cancel75^15/cancel8 xx cancel8/cancel5^1#

#=15# pounds

As the maximum weight is #16# pounds, Tiffany will be able to send the parce.