Question

Kumar has three boxes of counters A, B and C.
There are x counters in box A.
There are (2x + 7) counters in box B.
There are (3x - 4) counters in box C.
There is a total of 75 counters in the three boxes.
Work out the number of counters in box B

Answer 1

Answer:

31

Step-by-step explanation:

                                              A + B + C = 75

                               x + (2x +7) + (3x - 4) = 75

Collect like terms:     x + 2x + 3x + 7 - 4 = 75

Combine like terms:                     6x + 3 = 75

Subtract 3 from both side:                 6x = 72

Therefore:                                             x = 12

If there are (2x + 7) counters in box B, and x = 12, then

Counters in box B = (2 x 12) + 7 = 24 + 7 = 31