A machine uses pieces of tape to seal packages. It cuts the tape into pieces exactly 2.375 inches long. If it uses 4 pieces of tape for a package, how many packages can it seal with a roll of tape 1,900 inches long?

A 1,900 inches roll of tape can seal 200 packages.

Given:

length of tape = 2.375 inches

no. of tapes used in 1 package = 4

total length of tape in a roll = 1900 inches

We need to find the total length of tape used in 1 package

2.375 inches * 4 pcs = 9.50 inches per package.

We need to find the number of packages that 1 roll of tape can seal.

1900 inches : 9.50 inches/package = 200 packages.