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
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
Answer:
In the Beginning Ratio of the number of pineapple muffins to mango muffins =3:2
Let the the number of pineapple muffins and mango muffins be 3 k and 2 k.
Number of pineapple muffins sold = 144
New Ratio of the number of pineapple muffins to mango muffins is 3:5.
⇒[tex]\frac{3k - 144}{2k}=\frac{3}{5}[/tex]
⇒5 × (3 k - 144) = 2 k × 3
⇒ 15 k - 720 = 6 k [ Using Distributive property: a × (b+ c) = a × b + a × c]
⇒15 k - 6 k = 7 20 [ Taking variable on one side and constant on another side of equation]
⇒9 k = 720
Dividing both sides by 9, we get
k = 80
So, Number of pineapple muffins which were present in the store when the bakery opened = 80 × 3 = 240
