Question 1186176
Let number of almond cookies = x
then cashew nut cookies = (x + 48)
walnut cookies = (x + 72)
Total number of cookies = x + x + 48 + x + 72 = 3x + 120
Again walnut cookies sold = 2/3(x + 72)
cashew nut cookies sold = 3/4(x + 48)
almond cookies sold = x/2
Total cookies sold = x/2 + 2/3(x + 72) + 3/4(x + 48) = x/2 + 2x/3 + 48 + 3x/4 + 36 = 23x/12 + 84
Now as per question,
3x + 120 - (23x/12 + 84) = 140
or, 3x - 23x/12 + 120 - 84 = 140
or, 13x/12 = 140 - 36 = 104
or, x = 104 × 12/13 = 96
Number of walnut cookies Mrs Thomas baked=96+72=168