Answer:
August = 3.4
September = 2.8
Explanation:
Given
![Total = 6.2\ in](https://img.qammunity.org/2022/formulas/mathematics/college/qcm5ie7how5huifbra08serdvg10h6wysi.png)
Represent August with A and September with S.
So,
![A =S + 0.6](https://img.qammunity.org/2022/formulas/mathematics/college/53w08iv8m31kbehd965x07fng9p7scz1ws.png)
Required
Amount of rainfall in each month.
This is calculated using:
![Total = August + September](https://img.qammunity.org/2022/formulas/mathematics/college/9x3sxlqowrnq0fmnr5vao92f0kaf7dl81t.png)
![6.2= A + S](https://img.qammunity.org/2022/formulas/mathematics/college/qpzu4yu5lgr0h4cj9gcyfqfayhd72mh54w.png)
Recall that: A = S + 0.6. Substitute
![6.2= S + 0.6 + S](https://img.qammunity.org/2022/formulas/mathematics/college/q8zjm1ncwqv8hiwms6xy1ipcv23q1ts3rg.png)
![6.2= 2S + 0.6](https://img.qammunity.org/2022/formulas/mathematics/college/8ug1lurnx5n67s3leq8qrk3jnmwlc28x70.png)
Collect Like Terms
![2S = 6.2 - 0.6](https://img.qammunity.org/2022/formulas/mathematics/college/3xk4myxce0861l0nqopaodrqbz2wxfv3nx.png)
![2S =5.6](https://img.qammunity.org/2022/formulas/mathematics/college/2s2h4u7h123yj6ncdbh5jxg82pjatdrdv0.png)
Solve for S
![S = 5.6/2](https://img.qammunity.org/2022/formulas/mathematics/college/o6wvd0ewh2tkk112kg5hgbdsdd69fx5kgv.png)
![S = 2.8](https://img.qammunity.org/2022/formulas/mathematics/college/q6do1c5qa5i96l93s2d3sld2kk7iabik9r.png)
Substitute 2.8 for S in
![A =S + 0.6](https://img.qammunity.org/2022/formulas/mathematics/college/53w08iv8m31kbehd965x07fng9p7scz1ws.png)
![A = 2.8 + 0.6](https://img.qammunity.org/2022/formulas/mathematics/college/m56vc4xnqn8wrm6icmg6itapp1ssj0ty3d.png)
![A = 3.4](https://img.qammunity.org/2022/formulas/mathematics/college/vm6eoawh4jyvxm0f2xb3whjg09vaiwl2gk.png)