A baby otter was born 3/4 of a month early at

birth it’s weight was 7/8 kilograms which is 9/10 kilograms less than the average weight of the newborn otter in the aquarium what is the average weight of the newborn otter

Respuesta :

Answer:

[tex]\frac{71}{40}\ kg[/tex]  or  [tex]1\frac{31}{40}\ kg[/tex]

Step-by-step explanation:

Let

x------->  the average weight of the newborn otter

we know that

[tex]x-\frac{9}{10}=\frac{7}{8}[/tex] -----> linear equation that represent the situation

solve for x

Adds [tex]\frac{9}{10}[/tex] both sides

[tex]x=\frac{7}{8}+\frac{9}{10}[/tex]

[tex]x=\frac{10*7+8*9}{80}\\ \\x=\frac{142}{80}[/tex]

Simplify

[tex]x=\frac{71}{40}\ kg[/tex]

Convert to mixed number

[tex]\frac{71}{40}=\frac{40}{40}+\frac{31}{40}=1\frac{31}{40}\ kg[/tex]