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

Answer:

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

Step-by-step explanation:

Given amounts of drinks left over:

• $\dfrac{1}{2}\; \sf liter \;of \;soda$

• $\dfrac{1}{5}\; \sf liter \;of \;water$

• $\dfrac{8}{10}\; \sf liter \;of \;apple\;juice$

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.

$\textsf{Soda}: \quad \dfrac{1}{2}=\dfrac{1 \cdot 5}{2 \cdot 5}=\dfrac{5}{10}$

$\textsf{Water}: \quad \dfrac{1}{5}=\dfrac{1 \cdot 2}{5 \cdot 2}=\dfrac{2}{10}$

Therefore, as:

• $\dfrac{2}{10} < \dfrac{5}{10} < \dfrac{8}{10}$

then:

• water < soda < apple juice

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

Answer 2

Answer:

a) Pam had less water than apple juice.

★ Water < Soda < Apple juice

Step-by-step 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.