Becky rented a power tool from a rental shop. The rent for the tool wa : Problem Solving (PS)

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AbdurRakib

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Becky rented a power tool from a rental shop. The rent for the tool wa [#permalink]

24 Jun 2016, 11:54

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A

B

C

D

E

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Becky rented a power tool from a rental shop. The rent for the tool was $12 for the first hour and $3 for each additional hour. If Becky paid a total of $27, excluding sales tax, to rent the tool, for how many hours did she rent it?

A. 5
B. 6
C. 9
D. 10
E. 12

OG Q 2017(Book Question: 164)

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LightYagami

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Re: Becky rented a power tool from a rental shop. The rent for the tool wa [#permalink]

24 Jun 2016, 12:12

1

Kudos

12 + 3n = 27

n = 5

Total time = n+1 hrs = 6 hrs

We take n+1 as the initial rental 12$ has one hour included.

B is the correct answer.

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Abhishek009

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Re: Becky rented a power tool from a rental shop. The rent for the tool wa [#permalink]

24 Jun 2016, 12:29

AbdurRakib wrote:

Becky rented a power tool from a rental shop. The rent for the tool was $12 for the first hour and $3 for each additional hour. If Becky paid a total of $27, excluding sales tax, to rent the tool, for how many hours did she rent it?

A. 5
B. 6
C. 9
D. 10
E. 12

OG Q 2017(Book Question: 164)

Total Rent = Rent for First Hour + No of Hours * Rate per hour

27 = 12 + 3 ( No of Hours )
15 = 3 ( No of Hours )

Or, No of Hours ( above first hour) = 5 hours...

So, Total hours worked is 6 hours ( 5 + 1 )

Answer will be (B)
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SeregaP

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Re: Becky rented a power tool from a rental shop. The rent for the tool wa [#permalink]

23 Mar 2017, 07:55

1

Kudos

great question!
12+3*hours=27
We need [1 + h?]
h=(27-12)/3
h=5

1+5=6

Answer is B
Beware of not writing 5!

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HasnainAfxal

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Re: Becky rented a power tool from a rental shop. The rent for the tool wa [#permalink]

12 Sep 2018, 09:23

2

Kudos

let $n$ be the total number of renting hours for the tool.
then,
$Total Rent = 12 +3(n-1)$
As given, $Total Rent=27$
so, $27=12+3(n-1)$
$3(n-1)=27-12=15$
$n-1=\frac{15}{3}$
$n-1=5$
$n=6$

Answer B

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ScottTargetTestPrep

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Re: Becky rented a power tool from a rental shop. The rent for the tool wa [#permalink]

14 Sep 2018, 08:59

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Kudos

Expert Reply

AbdurRakib wrote:

Becky rented a power tool from a rental shop. The rent for the tool was $12 for the first hour and $3 for each additional hour. If Becky paid a total of $27, excluding sales tax, to rent the tool, for how many hours did she rent it?

A. 5
B. 6
C. 9
D. 10
E. 12

We can create the equation in which h = the total number of hours of the rental. Note that she paid $12 for the first hour and $3 per hour for the remaining (h - 1) hours. Thus, we have:

12 + 3(h - 1) = 27

12 + 3h - 3 = 27

3h = 18

h = 6

Answer: B
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sunngupt11

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Re: Becky rented a power tool from a rental shop. The rent for the tool wa [#permalink]

18 Jan 2019, 23:20

12(1) + 3(n) = 27
n = 5
total hours = n + 1 = 6
answer B.

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Abhishek009

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Re: Becky rented a power tool from a rental shop. The rent for the tool wa [#permalink]

06 Feb 2020, 07:28

AbdurRakib wrote:

Becky rented a power tool from a rental shop. The rent for the tool was $12 for the first hour and $3 for each additional hour. If Becky paid a total of $27, excluding sales tax, to rent the tool, for how many hours did she rent it?

A. 5
B. 6
C. 9
D. 10
E. 12

OG Q 2017(Book Question: 164)

$\frac{27 - 12}{3}$

Or, $\frac{15}{3}$

Or, 5 Hours + 1 Hour ( $ 12) , Answer must be (B) 6 Hours
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Abhishek....

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Basshead

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Re: Becky rented a power tool from a rental shop. The rent for the tool wa [#permalink]

06 Nov 2020, 11:55

n = total hours of tool rental

12 + 3(n-1) = 27
12 + 3n - 3 = 27
9 + 3n = 27
3n = 18
n = 6

Answer is B.
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MHIKER

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Becky rented a power tool from a rental shop. The rent for the tool wa [#permalink]

06 Dec 2020, 11:55

Top Contributor

AbdurRakib wrote:

Becky rented a power tool from a rental shop. The rent for the tool was $12 for the first hour and $3 for each additional hour. If Becky paid a total of $27, excluding sales tax, to rent the tool, for how many hours did she rent it?

A. 5
B. 6
C. 9
D. 10
E. 12

Let the total hour is $x$

So,

$12+(x-1)3=27$

$12+3x-3=27$

$3x=27-9=18$

$x= \frac{18}{3}=6$

$x= 6$

The answer is $B.$

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Re: Becky rented a power tool from a rental shop. The rent for the tool wa [#permalink]

13 Feb 2022, 06:00

Total Rent paid for additional hours = Total amt paid - Rent for the first hour
=> 27 - 12 = 15

15/3 = 5 hrs

Total hours = 5 + 1 = 6

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Abhishek009

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Re: Becky rented a power tool from a rental shop. The rent for the tool wa [#permalink]

13 Feb 2022, 11:09

AbdurRakib wrote:

Becky rented a power tool from a rental shop. The rent for the tool was $12 for the first hour and $3 for each additional hour. If Becky paid a total of $27, excluding sales tax, to rent the tool, for how many hours did she rent it?

A. 5
B. 6
C. 9
D. 10
E. 12

OG Q 2017(Book Question: 164)

$\frac{27-12}{3} => \frac{15}{3} = 5$, Hours rented is 5+1 = 6, answer will be (B)
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Abhishek....

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Arvind123

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Re: Becky rented a power tool from a rental shop. The rent for the tool wa [#permalink]

15 Feb 2022, 10:11

1

Kudos

12 + 3(X) = 27

Solve for ; X =5. So the total hours will be 5+1=6

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Re: Becky rented a power tool from a rental shop. The rent for the tool wa [#permalink]

17 Apr 2024, 04:46

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Re: Becky rented a power tool from a rental shop. The rent for the tool wa [#permalink]

17 Apr 2024, 04:46

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