Question

Bianca and Meredith are sisters. Meredith's height is 23 of Bianca's height plus 32 inches. Meredith is 60 inches tall. A girl is sixty inches tall. Write an equation to find Bianca's height, x, in inches.

Answer 1

Bianca's height = 42 inches

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
`(2)/(3)` of Bianca's height plus 32 inches, so the equation is.

Meredith's height =
`(2)/(3)(Bianca\ height)+32`

Substitute Meredith's height in above equation.

`60=(2)/(3)x+32`

Now we solve the above equation for x.

`(2)/(3)x=60-32`

`(2)/(3)x=28`

By cross multiplication.

`x=(3* 28)/(2)`

28 divided by 2.

`x= 3* 14`

`x=42\ in`

Therefore, the height of the Bianca is 42 inches.