First, we have to express all the weights in pounds only.
We know that 1 pound is equivalent to 16 ounces. Let's transform each ounce.
![6oz\cdot(1lb)/(16oz)=(6)/(16)lb=(3)/(8)lb](https://img.qammunity.org/2023/formulas/mathematics/high-school/5tifyw5471kxcq5k1sb3pfaher3qgla7me.png)
Then, we sum to the first weight.
![5+(3)/(8)=(40+3)/(8)=(43)/(8)=5.375](https://img.qammunity.org/2023/formulas/mathematics/high-school/cdla88s3h8uqh5xev9imv8hko2rdmwlg0f.png)
The first birth weighed 5.375 pounds.
Now, we transform the ounces of the second birth.
![10oz\cdot(1lb)/(16oz)=(10)/(16)lb=(5)/(8)lb](https://img.qammunity.org/2023/formulas/mathematics/high-school/j5d5gkwu2okczqgorwfk0q8b2hiw6lj1bz.png)
Then, we sum.
![4+(5)/(8)=(32+5)/(8)=(37)/(8)=4.625lb](https://img.qammunity.org/2023/formulas/mathematics/high-school/ra4uyim1copbyp95lbqb6v3h4orr6qggx8.png)
The second birth weighed 4.625 pounds.
![14oz\cdot(1lb)/(16oz)=(14)/(16)lb=(7)/(8)lb](https://img.qammunity.org/2023/formulas/mathematics/high-school/d3xkwvjzw1vsq706o43n3id136oik0q0o0.png)
Then, we sum.
![4+(7)/(8)=(32+7)/(8)=(39)/(8)=4.875lb](https://img.qammunity.org/2023/formulas/mathematics/high-school/a5lvwmlxcm54tootsbs9901eda87it90mx.png)
The third birth weighed 4.875 pounds.
![2oz\cdot(1lb)/(16oz)=(2)/(16)lb=(1)/(8)lb](https://img.qammunity.org/2023/formulas/mathematics/high-school/ybzc5l957wzh3y7ajyg7tc4ey4w71rmiuy.png)
Then, we sum.
![5+(1)/(8)=(40+1)/(8)=(41)/(8)=5.125lb](https://img.qammunity.org/2023/formulas/mathematics/high-school/9e4sycttx6xt0n5jo1x9d9gx2np96zi94j.png)
The fourth birth weighed 5.125 pounds.
At last, we have to sum all the pounds.
![5.375+4.625+4.875+5.125=20](https://img.qammunity.org/2023/formulas/mathematics/high-school/bollv1565ma6uehd4ncgbqcguz9ar4suyq.png)
Hence, the total weight in pounds is 20.