Question

Lane is making accessories for the soccer team. He uses 694.33 inches of fabric on headbands for 46 players and 3 coaches. He also uses 411.24 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answer 1

1063.06 inches of fabric was used on headband and wristband for each player.

Explanation:

Given:

Lane is making accessories for the soccer team.

He uses 694.33 inches of fabric on headbands for 46 players and 3 coaches.

He also uses 411.24 inches of fabric on wristbands for just the players.

Now, to find the quantity of fabric used on a headband and wristband for each player.

Total inches of fabric used for headbands = 694.33 inches.

Total number of persons for headbands =
`46+3=49.`

Now, to get the quantity of fabric used on a headband for 46 players by using unitary method:

Fabric for 49 persons headbands = 694.33 inches.

Fabric for 1 person headband =
`(694.33)/(49)` inches.

Fabric for 46 persons headbands =
`(694.33)/(49)* 46`

`=14.17* 46\\\\=651.82\ inches.`

Fabric for 46 players headbands = 651.82 inches.

As given,

Fabric on wristbands for just the players = 411.24 inches.

Now, to get the total fabric used on headband and wristband for each player by adding fabric for 46 players headbands and fabric on wristbands for just the players:

`651.82+411.24\\\\=1063.06\ inches.`

Therefore, 1063.06 inches of fabric was used on headband and wristband for each player.