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Alia and Huda have some sweets in the ratio 7:3. Alia gives 3 sweets to Huda and now the ratio is 5:3. How many sweets did each have initially?

 Oct 3, 2020
 #1
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A/H =7/3,   

(A - 3) / (H + 3) =5 / 3, solve for A, H

 

Alia had 28 and Huda had 12 initially.

 Oct 3, 2020
 #2
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7/ (7+3) x      -3    = 5/(5+3) x

solve for x = total amount = 40

 

7 / 10   * 40 = 28

3/10 * 40    = 12      initially

 Oct 3, 2020

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