Respuesta :
Answer: [tex]\dfrac{121}{10}\ \text{Pounds}[/tex]
Step-by-step explanation:
Given
The weight of John's backpack is
[tex]5\ \dfrac{1}{2}=\dfrac{5\times 2+1}{2}=\dfrac{11}{2}\ \text{Pounds}[/tex]
Weight of Tyrone's backpack is
[tex]6\ \dfrac{3}{5}=\dfrac{6\times 5+3}{5}=\dfrac{33}{5}\ \text{Pounds}[/tex]
Combined Weight of two
[tex]\Rightarrow \dfrac{11}{2}+\dfrac{33}{5}=\dfrac{11\times5+33\times 2}{10}\\\Rightarrow \dfrac{121}{10}\ or\ 12\ \dfrac{1}{10}\ \text{Pounds}[/tex]
the total weight of the boy's backpack is 121/10
the first step is to convert the fraction from mixed fraction to proper fraction
5 1/2
= 11/2
6 3/5
= 33/5
the total weight of the boys can be calculated as follows
= 11/2 + 33/5
= 55 + 66/10
= 121/10
Hence the total weight of the boy's backpack is 121/10
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