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Re: Becky rented a power tool from a rental shop. The rent for the tool wa [#permalink]
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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Re: Becky rented a power tool from a rental shop. The rent for the tool wa [#permalink]
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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Re: Becky rented a power tool from a rental shop. The rent for the tool wa [#permalink]
2
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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Re: Becky rented a power tool from a rental shop. The rent for the tool wa [#permalink]
12(1) + 3(n) = 27
n = 5
total hours = n + 1 = 6
answer B.
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Re: Becky rented a power tool from a rental shop. The rent for the tool wa [#permalink]
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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Re: Becky rented a power tool from a rental shop. The rent for the tool wa [#permalink]
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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Becky rented a power tool from a rental shop. The rent for the tool wa [#permalink]
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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]
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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Re: Becky rented a power tool from a rental shop. The rent for the tool wa [#permalink]
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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Re: Becky rented a power tool from a rental shop. The rent for the tool wa [#permalink]
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]
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Re: Becky rented a power tool from a rental shop. The rent for the tool wa [#permalink]
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