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

Let

x> Ann's amount of money

y> Ben's amount of money

z> Cheryl's amount of money

we know that

y=x+650> equation 1

x/y=3/7> y=(7/3)*x> equation 2

y/z=7/10> equation 3

x/z=3/10> equation 4

equate equation 1 and equation 2

x+650=(7/3)*x> multiply by 3> 3x+1950=7x> 4x=1950

x=1950/4> x=487.5

y=x+650> y=487.5+650> y=1137.5

y/z=7/10> z/y=10/7> z=(10/7)*1137.5> z=1625

the answer is

Ann's amount of money is £487.5

Ben's amount of money is £1137.5

Cheryl's amount of money is £1625

487.5+1137.5+1625=£3250

The total of money shared is £3250

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