Question

One tea bag can brew two or three cups of tea. Anastasia and Elizabeth shared the box of tea bags equally. Anastasia made 57 cups of tea, and Elizabeth 83 cups of tea. How many tea bags could be in the box?

Answer 1

Between 47 and 70

Explanation:

Together, Anastasia and Elizabeth made 57 + 83 = 140 cups of tea. If each tea bag can make two to three cups of tea, there could be between 47 [140 ÷ 3 = 46.667 ≈ 47] and 70 [140 ÷ 2 = 70] tea bags in the box.

Answer 2

Total tea bags in the box could be any of these: 71 , 57, 61, 47

Explanation:

from the question given a tea bag can make either two or three cups of tea

A) Anastasia made 57 cups of tea

there are two possibilities is either she made 2 cups per bag or 3 cups par bag

i) when she makes two cups of tea per bag : number of teabag used = 57/2 = 28.5 ≈ 29 bags

ii) when she makes three cups per bag : number of teabags used = 57 / 3 = 19 bags

B) Elizabeth made 83 cups of tea

iii) if she makes two cups per bag = 83 / 2 = 41.5 ≈ 42

iv) if she makes three cups per bag = 83 / 3 = 27.66 ≈ 28

probable amount of teabags in the box

= i +iii , i + iv , ii + iii , ii + iv

= ( 29 + 42 ) , ( 29 +28 ), ( 19 + 42 ), ( 19 + 28 )

= 71 , 57, 61, 47