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DiKsa [7]
3 years ago
7

Bianca and Meredith are sisters. Meredith's height is 23 of Bianca's height plus 32 inches. Meredith is 60 inches tall. A girl i

s sixty inches tall. Write an equation to find Bianca's height, x, in inches.
Mathematics
1 answer:
jarptica [38.1K]3 years ago
7 0

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 \frac{2}{3} of Bianca's height plus 32 inches, so the equation is.

Meredith's height = \frac{2}{3}(Bianca\ height)+32

Substitute Meredith's height in above equation.

60=\frac{2}{3}x+32

Now we solve the above equation for x.

\frac{2}{3}x=60-32

\frac{2}{3}x=28

By cross multiplication.

x=\frac{3\times 28}{2}

28 divided by 2.

x= 3\times 14

x=42\ in

Therefore, the height of the Bianca is 42 inches.

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