Answer:
the [tex]\frac{8}{9}[/tex] of piece a weight is 20g.
Step-by-step explanation:
Let x be the fraction of weight for 20g..
and m be the weight of piece.
Given:
Two third piece a weights is [tex]15g[/tex].
That means
[tex]\frac{2}{3}\times m =15g[/tex]
[tex]\frac{2}{3}\times m =15[/tex]
[tex]m=\frac{15\times 3}{2}[/tex]
[tex]m =\frac{45}{2}[/tex]
[tex]m = 22.5[/tex]
So, the weight of the piece is 22.5g.
Find what fraction for 20g
fraction of weight [tex]\times m = 20g[/tex]
Put weight of piece in above equation.
fraction of weight [tex]\times 22.5 = 20[/tex]
fraction of weight [tex]=\frac{20}{22.5}[/tex]
fraction of weight [tex]=\frac{8}{9}[/tex]
Therefore, the [tex]\frac{8}{9}[/tex] of piece a weight is 20g.
