Question

Carlos mixed 2/10 liters of Orange Juice with 1/8 liters of Pineapple Juice. Determine a reasonable estimate of the total amount of juice Carlos mixed. Choose 1 answer: A: Less than 1/2 Liters B: More than 1/2 Liters but less than 1 Liter C: More than 1 Liter​

Answer 1

Answer:

4013 liters  or  0.325\ liters0.325 liters

Step-by-step explanation:

we know that

To find the total amount of juice Carlos mixed, sum the liters of orange juice plus the liters of pineapple juice

Let

x------> liters of orange juice

y-----> liters of pineapple juice

z----> total amount of juice mixed

so

z=x+yz=x+y

we have

x=\frac{2}{10}\ litersx=102 liters

y=\frac{1}{8}\ litersy=81 liters

substitute

z=\frac{2}{10}+\frac{1}{8}=\frac{4*2+5*1}{40}=\frac{13}{40}\ litersz=102+81=404∗2+5∗1=4013 liters

Convert to decimal form

\frac{13}{40}\ liters=0.325\ liters4013 liters=0.325 liters

Answer 2

Answer:

The option A is correct.

Step-by-step explanation:

Given that,

$orange \: \: juice = \frac{2}{10}l = \frac{1}{5}l \\ pineapple \: \: juice \: = \frac{1}{8} l$

Therefore, the total amount of juice mixed will be given by,

$total \: juice = orange \: juice \\+ \\ \: pineapple \: juice$

Substituiting the given values, we have

$total \: juice = \frac{1}{5} l + \frac{1}{8} l \\ total \: juice = ( \frac{1}{5} + \frac{1}{8} )l$

Taking LCM of the two terms, we get

$total \: juice = ( \frac{8 + 5}{40})l \\t otal \: juice = \frac{13}{40} l$

From the above values, it is clear that the denominator is even greater then twice the value of the numerator i.e. above values can also be written as,

$total \: juice = \frac{13}{2(13) + 14}$

Therefore, its value will be less than half.

Thus, the option A is correct.