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The number of boys and the number of girls in a class is b and g respe
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12 Apr 2023, 00:29
12 Apr 2023, 00:29
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Question Stats:
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The number of boys and the number of girls in a class is b and g respectively. If 2 boys leave and 3 girls join the class, the number of boys would become 6 more than half the number of girls. Which of the following is equal to g?
2b – 21
2b – 19
b – 12
2b + 19
2b + 21
2b – 21
2b – 19
b – 12
2b + 19
2b + 21
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
Re: The number of boys and the number of girls in a class is b and g respe
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17 Apr 2023, 00:27
17 Apr 2023, 00:27
1
Expert Reply
Let's set up the given information as an equation to solve for the value of "g".
According to the given information, if 2 boys leave and 3 girls join the class, the number of boys would become 6 more than half the number of girls.
So, the equation can be written as:
b - 2 = 6 + 0.5(g + 3)
Simplifying the equation:
b - 2 = 6 + 0.5g + 1.5
b - 2 - 6 - 1.5 = 0.5g
b - 9.5 = 0.5g
Multiplying both sides by 2 to isolate "g":
2(b - 9.5) = g
2b - 19 = g
So, the correct answer is "2b - 19". Therefore, the option "2b - 19" is equal to "g".
According to the given information, if 2 boys leave and 3 girls join the class, the number of boys would become 6 more than half the number of girls.
So, the equation can be written as:
b - 2 = 6 + 0.5(g + 3)
Simplifying the equation:
b - 2 = 6 + 0.5g + 1.5
b - 2 - 6 - 1.5 = 0.5g
b - 9.5 = 0.5g
Multiplying both sides by 2 to isolate "g":
2(b - 9.5) = g
2b - 19 = g
So, the correct answer is "2b - 19". Therefore, the option "2b - 19" is equal to "g".
gmatclubot
Re: The number of boys and the number of girls in a class is b and g respe [#permalink]
17 Apr 2023, 00:27
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