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.

2 Answers
Feb 22, 2018

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

Explanation:

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.

Feb 22, 2018

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

Explanation:

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.