Answer : The price of a pound of bananas was, $0.51
Step-by-step explanation :
Let the cost of a pound of bananas be, x
and the cost of each box of cereal will be, y.
Maggie bought a pound of bananas and 4 boxes of cereal for $10. 11. The equation will be:
![x+4y=10.11](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6r883xgfcblkw8gaf27psmem1ei9c9yc2o.png)
If each box of cereal cost $2.40. The expression will be:
![y=2.40](https://img.qammunity.org/2020/formulas/mathematics/middle-school/wzkptekqcdsltiiotzpcaug9isk980m0g2.png)
Now put the value of 'y' in above equation, we get the value of 'x'.
![x+4y=10.11](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6r883xgfcblkw8gaf27psmem1ei9c9yc2o.png)
![x+4(2.40)=10.11](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mr9282na7olaq9czhtnmqe1axaiuophni2.png)
![x+9.6=10.11](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tniloii0d51ylcunkwi424xp6b0hnruiyy.png)
![x=10.11-9.6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/cgwilklo8h4scbdqmjj5pm7afzpz0vgaim.png)
![x=0.51](https://img.qammunity.org/2020/formulas/mathematics/middle-school/h1qx6lq4jkv4yf3nlkppb7k7ysfhqhqgw8.png)
The cost of a pound of bananas = x = $0.51
The cost of a box of cereal = y = $2.40
Therefore, the price of a pound of bananas was, $0.51