Certainly! Let's solve each part of the question step-by-step.
### Part (a)
The ratio of water and sugar in a mixture is 1:2.5. How much sugar does 700 gm of the mixture contain?
1. Define the ratio:
- Water : Sugar = 1 : 2.5
2. Calculate the total parts of the mixture:
- Total parts = Water part + Sugar part
- Total parts = 1 + 2.5 = 3.5
3. Determine the amount of sugar in the mixture:
- Since the total mixture is 700 gm, we need to find the fraction of it that is sugar.
- Calculate the sugar content:
- Sugar content = (Sugar part / Total parts) Total mixture
- Sugar content = (2.5 / 3.5) 700 gm
4. Find the numeric value:
- Sugar content = 500 gm
So, the mixture contains 500 gm of sugar.
---
### Part (b)
The ratio of the numbers of boys and girls in a class is 4:3. If there are 28 boys, find the number of girls.
1. Define the ratio:
- Boys : Girls = 4 : 3
2. Understand the relationship:
- The total ratio parts = Boys part + Girls part
- Total ratio parts = 4 + 3 = 7
3. Given the number of boys:
- Boys count = 28
4. Using the ratio, calculate the number of girls:
- Girls count = (Girls part / Boys part) Boys count
- Girls count = (3 / 4) 28
5. Find the numeric value:
- Girls count = 21
So, there are 21 girls in the class.
### Summary
- The mixture contains 500 gm of sugar.
- There are 21 girls in the class.
