Given that:
- Jared uses 811.68 inches of fabric on headbands for 34 players and 4 coaches.
- He uses 329.12 inches of fabric on wristbands for just the players.
Let be "h" the amount of fabric (in inches) that was used on a headband and "w" the amount of fabric (in inches) that was used on a wristband for each player.
• Since the headbands are for 34 players and 4 coaches, the total number of headbands are:
![34+4=38](https://img.qammunity.org/2023/formulas/mathematics/college/7a8knp930tcl60r1czpem0m0864trunq2p.png)
Then, you can determine that:
![h=(811.68)/(38)](https://img.qammunity.org/2023/formulas/mathematics/college/zbo1c1yd1x7uas2ug3vcbnlbgd1weoqbgu.png)
Solving the Division, you get:
![h=21.36](https://img.qammunity.org/2023/formulas/mathematics/college/h4db08jw1bk7x7rbut8wvz5nnbg9jxidua.png)
• Knowing that the wristbands are for the players, you can set up that:
![w=(329.12)/(34)](https://img.qammunity.org/2023/formulas/mathematics/college/nzst95zmx2b2k9qzxqhj315s0td0lbuhpx.png)
Solving the Division, you get:
![w=9.68](https://img.qammunity.org/2023/formulas/mathematics/college/83a57qct40a65weuvt8hp6vbnwkdx097d8.png)
Hence, the answer is:
• The amount of fabric used on a headband was:
![21.36in](https://img.qammunity.org/2023/formulas/mathematics/college/v4lvjfrpqns6nzm1fxkd67ecqkwu8o3w6z.png)
• The amount of fabric used on a wristband was:
![9.68in](https://img.qammunity.org/2023/formulas/mathematics/college/zaxbe19ly2yxeqm1lnlc8yw4s3oi075k1g.png)