Answer:
One kilogram of oranges cost $3.
Explanation:
The problem states
- 1 kilogram of bananas costs as much as 2 kilograms of oranges. (
) - 30 kilograms of oranges plues 45 kilograms of bananas cost $360.
Let's call
one kilogram bananas and
one kilogram oranges. The cost is related by
![x=2y](https://img.qammunity.org/2021/formulas/mathematics/high-school/fe5pkvpiie29b3p2ze8myimsr8vm55am3w.png)
Also, we know by given
![45x+30y=360](https://img.qammunity.org/2021/formulas/mathematics/middle-school/lz50l0tj05sanskreczbium5j3qtkugv4w.png)
Replacing the first equation into the second one, we have
![45(2y)+30y=360\\90y+30y=360\\120y=360\\y=(360)/(120)\\ y=3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/c45qbbe35t7nacnsg9zkqrlr4u015symsg.png)
Then, we find the other value
![x=2(3)=6](https://img.qammunity.org/2021/formulas/mathematics/middle-school/jywdvna9yo46xcnt8lso66ne1e8dr9x7l2.png)
Therefore, one kilogram of oranges cost $3.