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45% of 80 is x% more than 24. What is the value of x?

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Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 171

Kudos [?]: 2934 [0], given: 394

45% of 80 is x% more than 24. What is the value of x? [#permalink]  11 Jun 2018, 15:52
Expert's post
00:00

Question Stats:

92% (00:46) correct 7% (00:00) wrong based on 13 sessions
45% of 80 is x% more than 24. What is the value of x?

[Reveal] Spoiler: OA
50

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Sandy
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Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 171

Kudos [?]: 2934 [0], given: 394

Re: 45% of 80 is x% more than 24. What is the value of x? [#permalink]  01 Jul 2018, 13:56
Expert's post
Explanation

The left-hand side of the equation is given: 45% of 80 is (0.45)(80) = 36. The problem then becomes: “36 is x% more than 24.” From this step, there are two possible approaches.

One approach is to translate the equation and solve:

$$36=24+\frac{x}{100}24$$

$$12=\frac{24x}{100}$$

$$x=50$$
_________________

Sandy
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Re: 45% of 80 is x% more than 24. What is the value of x?   [#permalink] 01 Jul 2018, 13:56
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