Answer:
a) 1/9 quarts
b) 1/3 quarts
Explanation:
Gordon pours 4/9 quarts of milk from a pitcher equally into 4 mugs.
a. Find the amount of milk in each mug.
To solve the first part of this question, we can simply use the idea of proportion;
Let x be the amount of milk in 1 mug
4/9 quarts = 4 mugs
x = 1 mugs
We will cross multiply
4x = 4/9
To get the value of x, we will divide both-side of the equation by 4
4x/ 4 = 4/9 ÷ 4
(on the left hand- side of the equation, 4 will divide 4 leaving us with x)
x = 4/9 ÷ 4
( This ÷4 can be change to become × 1/4)
x = 4/9 × 1/4
(The 4 at the numerator will cancel out the 4 at the denominator leaving us with 1/9)
x = 1/9
Therefore the amount of milk in each mug is 1/9 quart
b.Find the amount of milk in 3 mugs
For this second part of the question, we can also use proportion to solve;
Let x be the amount of milk in 3 mugs
4/9 quarts = 4 mugs
x = 3 mugs
Cross multiply
4x = 3 × 4/9
(At the right-hand side of this equation 3 can divide 9 which will give us 3 )
4x = 1 × 4 /3
4x = 4/3
We can now divide both-side of the equation by 4 to get the value of x
4x/4 = 4/3 ÷ 4
(On the left hand side of the equation, 4 will cancel out 4 leaving us with just x and on the right-hand side of the equation ÷ 4 can be changed to ×1/4)
x = 4/3 × 1/4
(4 will cancel 4 leaving us with 1/3)
x = 1/3
Therefore the amount of milk in 3 mugs is 1/3 quarts