Question

70 patients in a hospital consume 1350litres of juice in 30 days. At the same rate, how many patients will consume 1710 litres in 20 days?

Answer 1

Answer:

Number of patients is 133.

Step-by-step explanation:

The 70 patients consume 1350 liters in 30 days.

Therefore, the 70 patients consume 1350/30 = 45 liters per day.

Therefore, each patient consumes 45/70 liters per day.

Let the the total number of patients be 'x'.

x patients consume 1710 liters in 20 days.

Therefore, the x patients consume 1710/20 = 85.5 liters per day.

Therefore, $x*\frac{45}{70}=85.5\\ x=133$

Answer 2

Answer:

133

Step-by-step explanation:

70 patients consume 1350 litres of juice in 30 days

Find the amount of juice 1 patient consumed in 1 day:

1 patient = 1350 ÷ 70 ÷ 30 = 9/14 litres

Find the number of patients can consume 1710 litres in 20 days:

Amount of juice consumed in 1 day = 9/14 litres

Amount of juice consumed in 20 days = 9/14 x 20 = 90/7 litres

Number of patients = 1710 ÷ 90/7 = 133

Answer: 133 patients