Question

Tiwa spent 1 1/2 hours setting up her computer. It took her 3 times as long to install the software. How long did it take Tiwa to set up the computer and install the software

Answer 1

Answer:

Total time spent by Tiwa to set up the computer and install software = 6 hours

Step-by-step explanation:

Given:

Time spent by Tiwa to set up  her computer = $1\frac{1}{2}\ hours$

Time spent to install the software is 3 times the time she took to set up the computer.

To find the total time Tiwa took to set up her computer and install the software.

Solution:

Time spent by Tiwa to install the software can be given as:

⇒ $3\times 1\frac{1}{2} \ hours$

In order to multiply mixed numbers we first change them to fractions.

We multiply the denominator to the whole number and add the numerator to it. Then we write the number as numerator of a fraction with the same denominator.

So, $1\frac{1}{2}=\frac{3}{2}$

So, we have:

⇒ $3\times \frac{3}{2}\ hours$

⇒ $\frac{9}{2}\ hours$

Total time spent by Tiwa to set up the computer and install software can be given as:

⇒ $\frac{3}{2}\ hours+\frac{9}{2}\ hours$

Since denominators are same, so we simply add the numerators.

⇒ $\frac{3+9}{2}\ hours$

⇒ $\frac{12}{2}\ hours$

⇒ $6\ hours$