Q:

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.

Accepted Solution

A:
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 1/36Pablo 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 1/12Pablo has 3 7/9 quarts of iced tea and Rosa has 4 1/12 quarts.