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Question

pls help..another one.

Sally bought some chocolates and gave half of them to Mabel.  Sally also bought some lollipops and gave half of them to Mabel.  Mabel ate 7 lollipops and Sally ate 16 Chocolates.

After that, the number of lollipops and chocolates Mabel had were in the ratio 1:8 and the number of lollipops and chocolates Sally had were in the ratio 1:5. 

How many lollipops did Sally buy at first?

 

Answer

Sally               Mabel
L : C              L  : C
    -16           -7
1u : 5u            1p : 8p

Lollipops, 1u = 1p+7 ——-(1)
Choc, 5u+16 = 8p
5u = 8p -16 —–(2)

(1) X5, 5u = 5p + 35 —(3)

(2) = (3), both are 5u
8p – 16 = 5p + 35
3p = 51
p = 17

L = 1P+7= 24

At first, before she gave half to MAbel, she had 24 X 2 = 48

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