Question

When a bakery opened this morning, the ratio of the number of pineapple muffins to the number of mango muffins was 3 : 2. After 144 pineapple muffins were sold, the ratio of the number of pineapple muffins to the number of mango muffins changed to 3 : 5. How many pineapple muffins were there when the bakery opened this morning?

Answer 1

Answer:

Let pine = 3x

mango = 2x

Now after selling

pine = 3x - 144

A.T.P ,

(3x-144)/2x = 3/5

= 15x - 720 = 6x

= 9x = 720

= x = 80

therefore ,

pineapple at the beginning = 3x = 3×80= 240

Ans.

Answer 2

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

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• Ratio of pineapple muffins to mango muffins = 3 : 2
• After 144 pineapple muffins were sold the ratio became = 3 : 5

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$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

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• Total number of pineapple muffins when the bakery opened at morning = ??

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$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

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Let the pineapple muffins and mango muffins be 3x and 2x

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Acc. to the 2nd statement :-

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$\sf :\implies\: {\bold{ \dfrac{3x- 144 }{2x}= \dfrac{ 3 }{5}}}$

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$\sf :\implies\: {\bold{ 5 ( 3x - 144) = 3 \times 2x }}$

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$\sf :\implies\: {\bold{ 15x - 720 = 6x}}$

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$\sf :\implies\: {\bold{ 15x - 6x = 720 }}$

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$\sf :\implies\: {\bold{ 9x = 720}}$

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$\sf :\implies\: {\bold{ x = \dfrac{720}{9}}}$

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$\sf :\implies\: {\bold{ x = 80 }}$

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• putting value of x in the no. of pineapple muffins

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pineapple muffins = 3x

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pineapple muffins = 3 × 80

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pineapple muffins = 240

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$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

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• There was 240 pineapple muffins in the morning