Jennifer packed some beads into 3 bags labelled A,B,and C.Bag Ahad the most number of beads and Bag C had least.The difference in the number of beads between bag A and the other two bags were 51 and 108 respectively. Given that bag C contained 15% of the total number of beads, how many beads were there altogether?

A - B = 51 ---> A = B+51

A - C = 108
subtract them -C + B = 57
B = C + 57

C = (15/100)(A+B+C)
C = (3A + 3B + 3C)/20
20C = 3A + 3B + 3C
17C = 3A+ 3B
17C = 3(B+51) + 3(C+57)
17C = 3B + 153 + 3C + 171
17C = 3(C+57) + 153 + 3C + 171
17C = 3C + 171 + 153 + 3C + 171
11C = 495

C = 45
B = C+57 = 102
A = B+51 = 153

A contains 153, B contains 102 and C contains 45
total = 300
what is 15% of 300 ?
IT is 45 , which is the number in C

THANK U SO.... MUCH

To find the total number of beads, we will need to find the number of beads in each bag individually and then add them up.

Let's represent the number of beads in bag A as "x".

According to the information given, the difference in the number of beads between bag A and bag B is 51. This means that the number of beads in bag B is "x - 51".

Similarly, the difference between bag A and bag C is given as 108. So, the number of beads in bag C is "x - 108".

Given that bag C contained 15% of the total number of beads, we can set up the equation:

(x - 108) = 0.15x

Simplifying the equation, we get:

x - 108 = 0.15x
0.85x = 108 (subtracting 0.15x from both sides)
x = 108 / 0.85
x ≈ 127.059

Therefore, the number of beads in bag A is approximately 127.059.

To find the total number of beads, we can add the number of beads in each bag:

Total number of beads = x + (x - 51) + (x - 108)
Total number of beads ≈ 127.059 + (127.059 - 51) + (127.059 - 108)
Total number of beads ≈ 127.059 + 76.059 + 19.059
Total number of beads ≈ 222.177

Therefore, there were approximately 222 beads altogether.