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The maximum recommended pulse rate R, when exercising, for a

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Bunuel
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The maximum recommended pulse rate R, when exercising, for a [#permalink] New post   23 Dec 2013, 07:03
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The Official Guide For GMAT® Quantitative Review, 2ND Edition

The maximum recommended pulse rate R, when exercising, for a person who is x years of age is given by the equation R= 176- 0.8x. What is the age, in years, of a person whose maximum recommended pulse rate when exercising is 140 ?

(A) 40
(B) 45
(C) 50
(D) 55
(E) 60

Problem Solving
Question: 1
Category: Algebra Substitution; Operations with rational numbers
Page: 62
Difficulty: 500


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Bunuel
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Re: The maximum recommended pulse rate R, when exercising, for a [#permalink] New post   23 Dec 2013, 07:04
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SOLUTION:

The maximum recommended pulse rate R, when exercising, for a person who is x years of age is given by the equation R= 176 - 0.8x. What is the age, in years, of a person whose maximum recommended pulse rate when exercising is 140 ?
(A) 40
(B) 45
(C) 50
(D) 55
(E) 60

Substitute 140 for R: \(140 = 176 - 0.8x\) --> \(\frac{4}{5}x=36\) --> \(x=45\).

Answer: B.
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Re: The maximum recommended pulse rate R, when exercising, for a [#permalink] New post   23 Dec 2013, 12:31
What are we testing here..my multiplication skills?..:(
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Re: The maximum recommended pulse rate R, when exercising, for a [#permalink] New post   23 Dec 2013, 17:30
45...is this really a 600 level problem?
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Re: The maximum recommended pulse rate R, when exercising, for a [#permalink] New post   23 Dec 2013, 21:40
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R=176-0.8X; R-> Maximum recommended pulse rate and X-> Age

Substitute directly and solve:
0.8X=176-140 = 36
X=36/0.8
=> X = 45
(B) is the answer
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Re: The maximum recommended pulse rate R, when exercising, for a [#permalink] New post   24 Dec 2013, 02:53
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nutshell wrote:
R=176-0.8X; R-> Maximum recommended pulse rate and X-> Age

Substitute directly and solve:
0.8X=176-140 = 36
X=36/0.8
=> X = 45
(B) is the answer


Method I:

Given, R = 176 - 0.8x
Thus, equating R as 140 and solving we get

140 = 176 - 0.8x
or, 0.8x = 176 - 140
or, x = 360/8
or, x = 45

Method II:

In every 10 years, pulse rate, R decreases by 8.
Hence, R decreases by 36 (difference between 176 and 140), when x equals 10 times (36/8) or x= 45.

Answer: Option (B)
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Re: The maximum recommended pulse rate R, when exercising, for a [#permalink] New post   12 Feb 2017, 04:44
The question is a straightforward Formulas problem.
We are initially given the formula i.e. the equation for Maximum Pulse Rate (R) in terms of age x. Further, we are supposed to find out the age for someone whose maximum pulse rate is 140.
So now, for the equation R=176 - 0.8x, we substitute R=140 and solve for x.
Hence, 140=176-0.8x
Therefore, 0.8x=36
Therefore, x=45.
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Re: The maximum recommended pulse rate R, when exercising, for a [#permalink] New post   07 Jun 2017, 21:10
Plug in the given rate:

1) 140 = 176 - .8x

Simplify (move the negative value to the left):

2) .8x = (176-140)

To make calculations simpler, get rid of the decimal:

3) 8x = 360

Solve for x:

x = 45
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Re: The maximum recommended pulse rate R, when exercising, for a [#permalink] New post   10 Jun 2017, 08:15
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Bunuel wrote:

The maximum recommended pulse rate R, when exercising, for a person who is x years of age is given by the equation R= 176- 0.8x. What is the age, in years, of a person whose maximum recommended pulse rate when exercising is 140 ?

(A) 40
(B) 45
(C) 50
(D) 55
(E) 60


We are given that the maximum recommended pulse rate R, when exercising, for a person who is x years of age is given by the equation R = 176 - 0.8x.

We need to determine the age of a person whose maximum recommended pulse rate when exercising is 140.

140 = 176 - 0.8x

0.8x = 36

x = 36/0.8 = 45

Answer: B
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Re: The maximum recommended pulse rate R, when exercising, for a [#permalink] New post   22 Sep 2019, 17:38
140 = 176 - 0.8x ----->0.8x = (176-140)------->8x = 360(multiply by 10 on each side) ------> x=45.
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Re: The maximum recommended pulse rate R, when exercising, for a [#permalink] New post   01 Dec 2020, 07:54
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Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

The maximum recommended pulse rate R, when exercising, for a person who is x years of age is given by the equation R= 176- 0.8x. What is the age, in years, of a person whose maximum recommended pulse rate when exercising is 140 ?

(A) 40
(B) 45
(C) 50
(D) 55
(E) 60


Given: Max pulse rate = 176 - 0.8x

So, if Max pulse rate = 140, we get: 140 = 176 - 0.8x
Subtract 176 from both sides of the equation to get: -36 = -0.8x
Solve: x = -36/(-0.8) = 45

Answer: B

Cheers,
Brent
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The maximum recommended pulse rate R, when exercising, for a [#permalink] New post   01 Dec 2020, 08:07
Method1:
R = 176 - 0.8x
140 = 176-0.8x
0.8x = 36
8x =360
x=45

Method2:
Substitute answers one by one
176-0.8 * 45 = 140
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The maximum recommended pulse rate R, when exercising, for a [#permalink]
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