We are given 3 items that are delivered together. We need to find the charge for delivery that is a function of their weight. Since they are delivered together in one package we need to find the sum of the wights of each item. That is, the total weight is:
[tex]W_T=W_1+W_2+W_3[/tex]
The weights are the following:
[tex]\begin{gathered} W_1=2lb+13Oz \\ W_2=10lb+8Oz \\ W_3=1lb+6Oz \end{gathered}[/tex]
First, we add the pounds and the ounces together:
[tex]\begin{gathered} W_T=2lb+13Oz+10lb+8Oz+1lb+6Oz \\ W_T=13lb+27Oz \end{gathered}[/tex]
Since 16Oz is a pound we can rewrite the total weight as:
[tex]W_T=13lb+16Oz+11Oz=14lb_{}+11Oz[/tex]
Since the weight is between 14.1 and 15lb the charge is $6.15, according to the chart.