Question

Pam bought different drinks for a party she was throwing. After the party, she had the following drink amounts left over.

\dfrac1{2}
2
1
​
start fraction, 1, divided by, 2, end fraction liter of soda
\dfrac15
5
1
​
start fraction, 1, divided by, 5, end fraction liter of water
\dfrac8{10}
10
8
​
start fraction, 8, divided by, 10, end fraction liter of apple juice
Which statement correctly compares the amounts of 2 left over drinks?
Choose 1 answer:

(Choice A)
A
Pam had less water left over than apple juice.

(Choice B)
B
Pam had more soda left over than apple juice.

(Choice C)
C
Pam had less soda left over than water.

Answer 1

a) Pam had less water than apple juice.

★ Water < Soda < Apple juice

Explanation:

Converting the fraction into decimals,

→ Soda left = 1/2 = 0.5 litres

→ Water left = 1/5 = 0.2 litres

→ Apple juice left = 8/10 = 0.8 litres

Let's order them in ascending order,

→ 0.2 < 0.5 < 0.8

→ 1/5 < 1/2 < 8/10

→ Water left < Soda left < Apple juice left

Now the applicable options is,

→ Pam had less water than apple juice.

Hence, option (a) is correct answer.

Answer 2

A) Pam had less water left over than apple juice.

Explanation:

Given amounts of drinks left over:

• 
  `(1)/(2)\; \sf liter \;of \;soda`

• 
  `(1)/(5)\; \sf liter \;of \;water`

• 
  `(8)/(10)\; \sf liter \;of \;apple\;juice`

To compare the amounts of drinks left over, convert the fractions into equivalent fractions that have the same denominator.

The denominators of the three fractions are 2, 5 and 10.

The lowest common multiple of the denominators is 10.

Therefore, rewrite the first two fractions so that their denominators are also 10.

`\textsf{Soda}: \quad (1)/(2)=(1 \cdot 5)/(2 \cdot 5)=(5)/(10)`

`\textsf{Water}: \quad (1)/(5)=(1 \cdot 2)/(5 \cdot 2)=(2)/(10)`

Therefore, as:

• 
  `(2)/(10) < (5)/(10) < (8)/(10)`

then:

• water < soda < apple juice

Therefore, Pam had less water left over than apple juice.