Answer:
Step-by-step explanation:
Let x be the number plums that Mary had
Number of plums received by her brother = (1/4) of x =(1/4)x
Number of plums received by her sister = (1/3)x
Remaining plums is 20.
Total plums - (plums given to brother + plums given to sister) = 20
[tex]x-(\frac{1}{4}x+\frac{1}{3}x)=20\\\\x-\frac{1}{4}x-\frac{1}{3}x=20\\\\\frac{1*12}{1*12}x-\frac{1*3}{4*3}x-\frac{1*4}{3*4}x=20\\\\\frac{12}{12}x-\frac{3}{12}x-\frac{4}{12}x=20\\\\\frac{12-3-4}{12}x=20\\\\\frac{5}{12}x=20\\\\x=20*\frac{12}{5}\\\\x=4*12\\\\x=48[/tex]
Number of plums with Mary = 48
Number of plums received by brother= (1/4)*48 = 12 plums
Number of plums received by sister = (1/3)*48 = 16 plums
16 - 12 = 4
Her sister received 4 plums more than her brother
