Yesterday, pablo had 4 4/9 quarts of iced tea, and rosa had 3 5/12 quarts of iced tea.  how much more iced tea did pablo have than rosa?  pablo gave rosa 15% of his iced tea today. how much iced tea do each of them have now? write your answer in fraction form.

1. How much more iced tea did Pablo have than Rosa?

= 4 4/9 - 3 5/12 = 40/9 - 41/12 = 40/9 - 41/12 = (40 × 4)/(9 × 4) - (41 × 3)/(12 × 3) = 160/36 - 123/36= 37/36= 37/36 = 1 1/36

Pablo has 1 1/36 quarts of ice tea more than Rosa.

2.  Pablo gave Rosa 15% of his iced tea today. How much iced tea do each of them have now? Write your answer in fraction form.

      Iced tea given

= 15% × 4 4/9= 15/100 × 40/9 = 600/900= 2/3

      Pablo iced tea

= 40/9 - 2/3 = 40/9 - (2 × 3)/(3×3) = 40/9 - 6/9= 34/9= 3 7/9

      Rosa iced tea

= 41/12 + 2/3 = 41/12 + (2 × 4)/(3 × 4) = 41/12 + 8/12= 49/12= 4 1/12

Pablo has 3 7/9 quarts of iced tea and Rosa has 4 1/12 quarts.

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