A certain sum of money was shared among three friends a,b,&c.a received 3/7 of the sum of money & b got 2/3 as much as a.c received $49 less than a.find the ratio of b's money to c's money.how much moneydid c receive?
a = 3/7
b = 2/3 a = 2/3 * 3/7 = 2/7
c = 1 - 3/7 - 2/7 = 2/7
b/c = (2/7) / (2/7) = 1
c = 2/3 a = a-49
1/3 a = 49
a = 147
c = 2/3 a = 98
To find the ratio of b's money to c's money, we need to determine the amounts of money that both b and c received.
Let's say the total sum of money is represented by x.
a received 3/7 of the sum of money:
Amount received by a = 3/7 * x
b got 2/3 as much as a:
Amount received by b = 2/3 * (3/7 * x)
c received $49 less than a:
Amount received by c = (3/7 * x) - $49
To simplify the calculation, let's assume the total sum of money, x, is a multiple of 21 (the least common multiple of 7 and 3).
Let's consider x = 21. Therefore, the amounts received by a, b, and c can be calculated as follows:
Amount received by a = 3/7 * 21 = $9
Amount received by b = 2/3 * 9 = $6
Amount received by c = 9 - $49 = -$40
The ratio of b's money to c's money is $6 : $(-40), which can be simplified as -40/6.
Therefore, the ratio of b's money to c's money is -20/3.
However, it's worth noting that the given information leads to a negative value for the amount received by c, which seems incorrect. Please double-check the problem statement and the calculations to ensure there are no errors.