Calculating Recipe Servings Using Proportions
This problem involves finding the total number of servings possible with a given amount of milk, based on the milk required for a specific number of servings. We can solve this using proportions.
Step 1: Set up the Proportion
Let the number of servings that can be made with 3.75 liters of milk be denoted by '$x$'. The ratio of milk to servings is constant.
We have the known ratio: 0.625 liters for 5 servings.
We want to find the number of servings ($x$) for 3.75 liters.
The proportion can be written as:
$ \frac{\text{Milk (liters)}}{\text{Servings}} = \frac{0.625}{5} = \frac{3.75}{x} $
Step 2: Solve for x (Number of Servings)
To solve for '$x$', we can cross-multiply:
$ 0.625 \times x = 3.75 \times 5 $
Calculate the right side:
$ 3.75 \times 5 = 18.75 $
Now the equation is:
$ 0.625 \times x = 18.75 $
Isolate '$x$' by dividing both sides by 0.625:
$ x = \frac{18.75}{0.625} $
Perform the division:
$ x = 30 $
Conclusion
Therefore, 30 servings can be made with 3.75 liters of milk.
Similar Questions
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Rs. 640 shared among 8 people. 2 back out. What's new share per person?
Important Questions from Ratio and Proportion
The cost of a diamond is directly proportional to the square of its weight. The cost of a 14 gm diamond is Rs. 2560. This diamond got broken down into two pieces in the ratio of 5 ∶ 9. How much loss percent is incurred due to this breakage ? (Correct to two decimal places)
Atul purchased Bread costing Rs.20 and gave a 100 rupee note to the shopkeeper. The shopkeeper gave the balance money in coins of denomination Rs.2, Rs.5 and Rs.10. If these coins are in the ratio 5 ∶ 4 ∶ 1, then how many Rs.5 coins did the shopkeeper give?
A person divides a certain amount among his three sons in the ratio of 3 ∶ 4 ∶ 5. If he had divided this amount in the ratio of 1/3,1/4,1/5, his son, who had got the lowest share earlier, would get Rs.1,188 more. Find the amount (in Rs).
In a school 3/8 of the number of students are girls and the rest are boys. One-third of the number of boys are below 10 years and 2/3 the number if girls are also below 10 years. If the number of students of age 10 or more years is 260. then the number of boys in the school is:
If a : b : c = \(\frac{1}{4} : \frac{1}{3} : \frac{1}{2}, \) then \( \ \frac{a}{b} : \frac{b}{c} : \frac{c}{a} = ?\)
