Answer:
28
Explanation:
According to the question,
2 helmets and 1 football cost $80, while 1 helmet and 2 football cost $76
Let x represent cost of football and let y equal cost of helmet.
Write the system of equations,
![x +2 y = 80](https://img.qammunity.org/2022/formulas/mathematics/high-school/mvij12l7s5zf45hm6sbwabdezmk8q3gtw2.png)
![2x + y = 76](https://img.qammunity.org/2022/formulas/mathematics/high-school/qdk9mjug19m5x6iqyxaf5ue1xj2yar9ri5.png)
Eliminate the x variable by multiplying the top equation by -2
![- 2x - 4y = - 160](https://img.qammunity.org/2022/formulas/mathematics/high-school/j7m6dfw3eh2a8vgoai2hque8tzmf3w06wj.png)
![2x + y = 76](https://img.qammunity.org/2022/formulas/mathematics/high-school/qdk9mjug19m5x6iqyxaf5ue1xj2yar9ri5.png)
Add both equations.
![- 3y = - 84](https://img.qammunity.org/2022/formulas/mathematics/high-school/t5ege6cx3o7s732bj5zff2e1vnumku79p4.png)
![y = 28](https://img.qammunity.org/2022/formulas/mathematics/high-school/xbsxtf3bwl35w3l2zativsvxp3pvnss77s.png)
So one helmet cost $28