Alex has a number of jelly beans and ate 2/5 of them. Martha found the remaining jelly beans and ate 2/3 of what was left . There are now 51 left. what fraction of the original number of jelly beans did Martha eat? Express your answer as a simplified fraction.
2 answers
2/3 * 3/5 = 2/5
Alex has X jelly beans.
x - 2x/5 = 3x/5 remaining.
1/3 * 3x/5 = 3x/15 = x/5 remaining.
x/5 = 51.
X = 255.
Martha ate 2/3 * 3x/5 = 2/3 * (3*255)/5 = 102 Jelly beans.
102/255 = 34/85 = 2/5 of original jelly beans.
x - 2x/5 = 3x/5 remaining.
1/3 * 3x/5 = 3x/15 = x/5 remaining.
x/5 = 51.
X = 255.
Martha ate 2/3 * 3x/5 = 2/3 * (3*255)/5 = 102 Jelly beans.
102/255 = 34/85 = 2/5 of original jelly beans.
1 answer