Question

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.

Answer 1

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.