In this problem, we want to write an expression for the total cost of buying the items for all the players.
The items of each player are:
• a t-shirt that costs $12,
,
• stocks that cost $4,
,
• a hat that costs $x.
The cost of all the items for one player is just the sum of the prices:
![12+4+x](https://img.qammunity.org/2023/formulas/mathematics/college/j5h4k1ictn85je2erbv3mcsap2pucuj734.png)
Now, the cost for all the team is the last expression times the number of players:
![16\cdot(12+4+x)](https://img.qammunity.org/2023/formulas/mathematics/college/dtf9ffi6cwf05mczwqnrbakkwxetg0utjg.png)
To simplify the last expression, we apply the distributive property for the multiplication:
![16\cdot(12+4+x)=16\cdot(16+x)=16\cdot16+16\cdot x=256+16x](https://img.qammunity.org/2023/formulas/mathematics/college/gioh1wqw6bgcy1iy9x3qg12yopokw4kc7r.png)
Answers
• Expression: , 16, (12 +, 4 + x,)
,
• Simplified expression: ,256 + 16x