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?

DoctorOcopisMonOct Jul 8, 2021

#1**+3 **

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.

Robtlukas Jul 8, 2021

#2**+2 **

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

apsiganocj Jul 8, 2021