Faisal had 140 stickers and Adam had 92 stickers at first. After they each gave away all equal number of stickers, Faisal and 4 times as many stickers as Adam. How many stickers did each of them give away?
Q. Faisal had 140 stickers and Adam had 92 stickers at first. After they each gave away all equal number of stickers, Faisal and 4 times as many stickers as Adam. How many stickers did each of them give away?
Define Variables: Let's define the variables:Let x be the number of stickers each of them gave away.Faisal's remaining stickers = 140−xAdam's remaining stickers = 92−xAccording to the problem, after giving away the stickers, Faisal has 4 times as many stickers as Adam.So, we can write the equation:140−x=4(92−x)
Solve Equation: Now, let's solve the equation:140−x=4×92−4x140−x=368−4xTo isolate the variable x, we'll move all terms involving x to one side and constants to the other side:140−368=−4x+x−228=−3xNow, divide both sides by −3 to solve for x:x=−3−228x=76
Check Solution: We have found that x, the number of stickers each of them gave away, is 76. Now let's check if this makes sense with the original numbers:Faisal's remaining stickers = 140−76=64Adam's remaining stickers = 92−76=16According to the problem, Faisal should have 4 times as many stickers as Adam after they gave away the stickers:64=4×1664=64This is true, so our solution is correct.
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