I only need help with part b!

9514 1404 393

  99

Step-by-step 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.

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.

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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step-by-step explanation: