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a) The ratio of water to sugar in a mixture is 1:2.5. How much sugar does 700 gm of the mixture contain?

b) The ratio of the number of boys to girls in a class is 4:3. If there are 28 boys, find the number of girls.

Sagot :

GinnyAnsweridn
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.

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### 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.
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