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:

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

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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

Answer 2

Answer:

So

pinaple: mango=3:2

after 144 pinaple was sold (-144 pinaple)

the ratio changed to 3:5

one way is to convert the second number of both ratios to the same number, since they (mangos) didn’t change

3:2=15:10

3:5=6:10

so

15 pinaple units-144=6 pinaple units

add 144 to both sides

15p=6p+144

subtract 6p (pinaple units) from bothsides

9p=144

divide both sides by 9

pinaple unit=16

there were 15 units in the begining so

in the beginning, ther were 15 times 16 pinaples or 240 pinaple muffins

240 is the answer

Step-by-step explanation:

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