Question

Karim began his day by drinking 1 1/8

cups of milk at breakfast. By the end of the day, he drank a total of 2 2/3

cups of milk.


Which equation and solution correctly represent the amount of milk in cups, m , Karim drank after breakfast?

Answer 1

A. 1⅛ + m = 2⅔

`m = 1(13)/(24)`

Explanation:

Cups of milk at breakfast = 1⅛

Cups of milk after breakfast = m

Total cups of milk by the end of the day = 2⅔

Thus:

Total cups of milk by the end of the day = cups of milk at breakfast + cups of drink after breakfast

Therefore:

1⅛ + m = 2⅔ (equation)

Solve for m

Subtract 1⅛ from each side

m = 2⅔ - 1⅛

Convert to improper fraction

m = 8/3 - 9/8

m = (64 - 27)/24 = 37/24

`m = 1(13)/(24)`