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Abul, Bea and Charley each have some flowers. Abul has 20% more than Bea. Charley has 1/2 the number of flowers Abul has. Charley sells 1/2 of her flowers and then has 60 left. How many flowers did they have in total to start with?

 Apr 23, 2022
 #5
avatar+66 
0

we can use variables

a=# flowers Abul has

b=# flowers Bea has

c=# flowers Charley has

 

\(a=1.2b \\ 2c=a \\ \frac{1}{2}c=60 \\ c=120 \\ a=240 \\ b=200 \)

So the answer is \(\boxed{560}\)

 Apr 23, 2022
 #13
avatar+129899 
+1

A  =  (1.2)B

C =  A / 2  =  (1.2)B /  2   =  .6B

 

When Charley  sells 1/2 of her flowers she has 60 left....so....

 

.6B   - (.6B) / 2  =  60

 

.3B = 60

 

B =  60 / .3  =   200

 

A = (1.2)(200)  =  240

 

C = .6 (200)  = 120

 

They started with      200 + 240  + 120  =   560

 

 

cool cool cool

 Apr 23, 2022

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