Answer:
Bianca's height = 42 inches
Step-by-step explanation:
Let x be the Bianca height.
Given:
Meredith height = 60 inches
We need to find the Bianca height.
Solution:
From the given statement the Meredith's height is [tex]\frac{2}{3}[/tex] of Bianca's height plus 32 inches, so the equation is.
Meredith's height = [tex]\frac{2}{3}(Bianca\ height)+32[/tex]
Substitute Meredith's height in above equation.
[tex]60=\frac{2}{3}x+32[/tex]
Now we solve the above equation for x.
[tex]\frac{2}{3}x=60-32[/tex]
[tex]\frac{2}{3}x=28[/tex]
By cross multiplication.
[tex]x=\frac{3\times 28}{2}[/tex]
28 divided by 2.
[tex]x= 3\times 14[/tex]
[tex]x=42\ in[/tex]
Therefore, the height of the Bianca is 42 inches.
