Priya is stacking building blocks to make a tower. She takes a break when the tower is 2 and 1/2 feet tall, which is 5/8 of the height of the tower she wants to build. How tall is the tower when finished?

Respuesta :

Answer:

4 feet.

Step-by-step explanation:

Let x be the height of tower when finished.

We have been given that Priya takes a break when the tower is 2 and 1/2 feet tall, which is 5/8 of the height of the tower she wants to build.

This means that 5/8 of x equals [tex]2\frac{1}{2}[/tex]. Let us represent this information in an equation.

[tex]\frac{5}{8}*x=2\frac{1}{2}[/tex]

Let us convert our given mixed fraction into improper fraction.

[tex]\frac{5}{8}*x=\frac{5}{2}[/tex]

Let us multiply both sides of our equation by 8/5.

[tex]\frac{8}{5}\times \frac{5}{8}*x=\frac{5}{2}\times \frac{8}{5}[/tex]

[tex]x=\frac{8}{2}[/tex]

[tex]x=4[/tex]

Therefore, the tower will be 4 feet tall when finished.

4 feet is the tower tallness when finished.

Step-by-step explanation:

Given :

Priya Takes a break when the tower is 2.5 feet tall.

The height of the tower she wants to build,

[tex]\rm \dfrac{5}{8} \;feet[/tex]

Calculation :

To calculate tower tallness when finished, we use below equation

[tex]x\times \dfrac{5}{8}=2.5[/tex]

[tex]x = \dfrac{2.5\times8}{5}[/tex]

[tex]\rm x = 4 \; feet[/tex]

Therefore, 4 feet is the tower tallness when finished.

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https://brainly.com/question/6837143?referrer=searchResults