9514 1404 393
Answer:
99
Explanation:
b) Use your answer from part (a) to write a ratio equal to 8/3.
A/B = (7x -5)/(2x +5) = 8/3
3(7x -5) = 8(2x +5)
21x -15 = 16x +40
5x = 55
x = 11
The total number of counters is 7x+2x = 9x = 9·11 = 99.
There are 99 counters in the two bags.
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Additional comment
The original distribution was A=77, B=22. After moving 5, the distribution was A=72, B=27. The ratio 72/27 = 8/3, as required.