Three friends, A, B and C had 3/4 of a pizza left from last night's party and decided to share it for lunch.
A took a piece for herself
B took a piece which was twice as large as A's
The piece left for C was 3/4 as large as A's share
What fraction of the whole pizza did each piece represent?
A took a piece for herself
B took a piece which was twice as large as A's
The piece left for C was 3/4 as large as A's share
What fraction of the whole pizza did each piece represent?
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A + B + C = 3/4
B = 2A
C = 3A/4
A + 2A + 3A/4 = 3/4
15A/4 = 3/4
15A = 3
A = 3/15 = 1/5
B = 2/5
C = 3/20
B = 2A
C = 3A/4
A + 2A + 3A/4 = 3/4
15A/4 = 3/4
15A = 3
A = 3/15 = 1/5
B = 2/5
C = 3/20
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I got 26%. say each girl got 25 percent. this would be divide equally. because 3/4 is 75 percent. Then I took that 25% and divide it by 2 and, came out with around 12% I add this to Girl B slice which made 37% then I add the rest of that 12% which made 49% then I subtracted this by 75% which equals 26%. I'm sure there is a faster way to find this but, in my class I have to show stupid amount of my work.