Question

A bucket contain 2 l of juice mark poured 3/4 l into one glass añd 2/5 into another glass how much juice was left

Answer 1

To determine how much juice is left in the bucket after Mark poured some into two glasses, we start with the initial amount of juice in the bucket, which is 2 liters.

Mark poured:
- \( \frac{3}{4} \) liters into one glass
- \( \frac{2}{5} \) liters into another glass

Now, we need to find the total amount of juice poured out:

1. Convert both fractions to a common denominator to add them together. The least common multiple of 4 and 5 is 20.

- Convert \( \frac{3}{4} \) to a fraction with a denominator of 20:
\[
\frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20}
\]

- Convert \( \frac{2}{5} \) to a fraction with a denominator of 20:
\[
\frac{2}{5} = \frac{2 \times 4}{5 \times 4} = \frac{8}{20}
\]

2. Now, add the two amounts:
\[
\frac{15}{20} + \frac{8}{20} = \frac{15 + 8}{20} = \frac{23}{20}
\]

3. Next, we determine the amount of juice left in the bucket by subtracting the total amount poured from the initial amount:
- Convert 2 liters to a fraction with a denominator of 20:
\[
2 = \frac{2 \times 20}{1 \times 20} = \frac{40}{20}
\]

- Now subtract the amount poured out:
\[
\frac{40}{20} - \frac{23}{20} = \frac{40 - 23}{20} = \frac{17}{20}
\]

So, the amount of juice left in the bucket is \( \frac{17}{20} \) liters, which is equivalent to 0.85 liters or 850 milliliters.