Ann Ben and cheyrl share some money in the ratio 3:7:10 Ben receives £650 more than Ann calculate the total amount of money that they shared

Question
Answer:
Letx------------> Ann's amount of moneyy------------> Ben's amount of moneyz------------> Cheryl's amount of moneywe know thaty=x+650-----> equation 1x/y=3/7------> y=(7/3)*x-----> equation 2y/z=7/10-----> equation 3x/z=3/10-----> equation 4equate equation 1 and equation 2x+650=(7/3)*x------> multiply by 3-----> 3x+1950=7x----> 4x=1950x=1950/4-----> x=487.5y=x+650-----> y=487.5+650-----> y=1137.5y/z=7/10------> z/y=10/7------> z=(10/7)*1137.5-----> z=1625the answer isAnn's amount of money is £487.5Ben's amount of money is £1137.5Cheryl's amount of money is £1625487.5+1137.5+1625=£3250The total of money shared is £3250
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