SOLUTION: Mrs Thomas baked 3 types of cookies for sale. She baked 24 more walnut cookies than cashew nut cookies. She baked 48 more cashew nut cookies than almond cookies Mrs Thomas the

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Question 1186176: Mrs Thomas baked 3 types of cookies for sale.
She baked 24 more walnut cookies than cashew nut cookies.
She baked 48 more cashew nut cookies than almond cookies
Mrs Thomas then sold 2/3 of the walnut cookies, 3/4 of the cashew nut cookies and
1/2 of the almond cookies. She had 140 cookies left at the end of the sale.
How many walnut cookies did Mrs Thomas bake?
Found 3 solutions by josgarithmetic, Octo-pie7, MathTherapy:
Answer by josgarithmetic(39620)   (Show Source):
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Quantity Baked amt. sold amt. remain Walnut d+72 (1/3)(d+72) Cashew d+48 (1/4)(d+48) Almond d (1/2)d TOTAL 140

Do you understand how that data was formed and what next to do with it and finish?

Answer by Octo-pie7(11)   (Show Source):
You can put this solution on YOUR website!
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

Answer by MathTherapy(10552)   (Show Source):
You can put this solution on YOUR website!

Mrs Thomas baked 3 types of cookies for sale.
She baked 24 more walnut cookies than cashew nut cookies.
She baked 48 more cashew nut cookies than almond cookies
Mrs Thomas then sold 2/3 of the walnut cookies, 3/4 of the cashew nut cookies and
1/2 of the almond cookies. She had 140 cookies left at the end of the sale.
How many walnut cookies did Mrs Thomas bake?

Let number of walnut be W Then number of cashew = W - 24 Number of almond: W - 24 - 48 = W - 72 After selling of the walnut, she had , or left After selling ¾ of the cashew, she had ¼ * (W - 24) = left After selling ½ of the almond, she had ½ * (W - 72), or ½W - 36 left We then get: 4W + 3W + 6W = 12(182) -------- Multiplying by LCD, 12 13W = 12(182) Number of walnut sold, or