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Abel, Ben and Chris has 448 tarts altogether. Abel gave 1/7 of his tarts to Ben and 2/5 of his tarts to Chris. After that, the ratio of the number of the tarts Abel had to Ben had to Chris had was 4:3:9. a) What fraction of his tarts did Abel have left after giving som tarts to Ben and Chris? b) How many more tarts did Chris have Ben at first?​

Sagot :

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a) Fraction of tarts Abel had left after sharing:

- Abel gave ⅐ to Ben and ⅖  to Chris, which is

⅐ + ⅖ = ⁵/³⁵ + ¹⁴/³⁵ = ¹⁹/³⁵

- Tarts left with Abel = Initial tarts - Tarts given = 112 - ¹⁹/³⁵ × 112 = 112 - 59.2 = 52.8  tarts

b) Difference in tarts between Chris and Ben initially:

- Chris had 252 tarts initially, and Ben had 84 tarts initially.

- Chris had 252 - 84 = 168 more tarts than Ben initially.