Middle School

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Rob spent 25% more time on his research project than he had planned. He spent an extra \( h \) hours on the project.

Which of the following expressions could represent the number of hours Rob actually spent on the project?

Answer :

Answer:

5h and (h/0.25)1.25

Step-by-step explanation:

This means he planned to spend \dfrac{\maroonD{h}}{\greenD{25\%}}\cdot100\%

25%

h

​ ⋅100%start fraction, start color maroonD, h, end color maroonD, divided by, start color greenD, 25, percent, end color greenD, end fraction, dot, 100, percent hours on the research project.

Hint #33 / 6

Because 25\%25%25, percent means 252525 per hundred, we can write it in equivalent forms.

\begin{aligned} 25\%&=\dfrac{25}{100}\\\\ &=0.25 \end{aligned}

25%

​

=

100

25

​

=0.25

​

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Rewritten by : Barada

Answer: 5h represents the number of hours Rob actually spent on the project.


Step-by-step explanation:

Let Rob planned that he will spend x hours in his project.

According to the question,

He spent 25% more time on his project than he planned.

That is, his actual time = x + 25% of x = 125% of x

Again according to the question,

He spent an extra h hours on his project.

That is, 25% of x = h

[tex]\frac{25\times x}{100} = h[/tex]

[tex]x=\frac{100h}{25}[/tex]

x = 4h

Thus, his actual time = 125% of x = 125% of 4h = [tex]\frac{125\times 4h}{100}[/tex] = 5h

Which is the required expression.