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3/8 of the tea pitcher was left but after Ted drank some, only 1/3 was left. How much did Ted drink?

a) 3/8
b) 5/24
c) 1/6
d) 5/8

1 Answer

4 votes

Final answer:

Ted drank 27/48 of the tea pitcher. The correct option is not mentioned.

Step-by-step explanation:

To find out how much Ted drank, we need to calculate the difference between the initial amount and the amount left after he drank.

Let's say the initial amount was x. Then, we have:

x - (1/3)x = 3/8

(3/3)x - (1/3)x = 3/8

2/3x = 3/8

To isolate x, we multiply both sides by (3/2):

(3/2)(2/3)x = (3/2)(3/8)

x = 9/16

The difference between the initial amount and the amount left is: x - (1/3)x

=(9/16) - (1/3)(9/16)

=(9/16) - (3/3)(9/48)

=(9/16) - (9/48)

=(36/48) - (9/48)

= 27/48

= 9/16

The amount that Ted drank is 27/48. Hence none of the options are correct.

User Shawnte
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