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Mike has twice as many stamps as Jean has. After he gives Je

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by BTGmoderatorDC » Fri Aug 09, 2019 4:20 pm
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Mike has twice as many stamps as Jean has. After he gives Jean 6 stamps, he still has 8 more stamps than Jean does. How many stamps did Mike have originally?

A. 28
B. 32
C. 36
D. 38
E. 40

OA E

Source: Princeton Review
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by deloitte247 » Sat Aug 10, 2019 8:43 am
Let Jean's stamps = x stamps
Let Mike's stamps = 2x stamps
Mike gave out 6 stamps to Jean and still has 8 more stamps than Jean.
$$Therefore,\ 2x-6=x+6+8$$
$$2x=x+14+6$$
$$x=20$$
Originally, Mike possess 2x stamps.
Mike = 2x; where x = 20
Mike = 2 * 20 = 40 stamps originally

Answer = option E
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by Scott@TargetTestPrep » Wed Aug 14, 2019 7:04 pm
BTGmoderatorDC wrote:Mike has twice as many stamps as Jean has. After he gives Jean 6 stamps, he still has 8 more stamps than Jean does. How many stamps did Mike have originally?

A. 28
B. 32
C. 36
D. 38
E. 40

OA E

Source: Princeton Review
We can create the equation:

2J - 6 = 8 + (J + 6)

J = 20

So Mike had 2 x 20 = 40 stamps originally.

Answer: E

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