Three-quarters of candy hearts in a bag are white, \( {4 \over 7}{}{}\) of the remaining hearts and pink, and the rest are green. If there are 9 green hearts, how many hearts are in the bag?
Let x be the total number of hearts in the bag
Then according to question
Number white hearts =( 3/4)x=3x/4
Remaining (pink+green) hearts in bag
x-(3x/4)= x/4
Number of pink heart = (x/4)×(4/7)= x/7
Number of green hearts 💚= (x/4)-(x/7)=9
⇒ (7x-4x)/28= 9
⇒3x=9×28
⇒ x=(9×28)/3 =3×28=84 hearts Ans.
Let x be total candy
White candy = (3/4)x
Pink candy = (4/7)(x-(3/4)x)
= (4/7)(x/4)= x/7
Remaining green candy = x-{(3/4) +(1/7)}x
= (3/28)x
Also green candy =9
(3/28)x = 9
X= 84 candy.
Therefore total no. Of candy = 84