Advertisements
Advertisements
Question
Campus and Welfare Committee of school is planning to develop a blue shade for painting the entire school building. For this purpose various shades are tried by mixing containers of blue paint and white paint. In the following mixtures, decide which is a lighter shade of blue and also find the lightest blue shade among all of them.
| Mixture G | Mixture H |
 |
 |
If one container has one litre paint and the building requires 105 litres for painting, how many container of each type is required to paint the building by darkest blue shade?
Advertisements
Solution
In mixture G,
The number of blue containers = 3
The number of white containers = 3
∴ Ratio of blue and white = `3/3` = 1
In mixture H,
The number of blue containers = 4
The number of white containers = 3
∴ Ratio of blue and white = `4/3` = 1.33
Clearly, mixture G would be lighter shade, since for lighter shade white container should be more than blue container.
From the above all mixtures, mixture D is lightest among them.
∴ The total number of containers required for painting = 105
∴ Number of blue containers required for painting = `2/7 xx 105` = 2 × 15 = 30
∴ Number of white containers required for painting = `5/7 xx 105` = 5 × 15 = 75
APPEARS IN
RELATED QUESTIONS
Complite the following table given that x varies directly as y .
| x | 5 | ... | 10 | 35 | 25 | ... |
| y | 8 | 12 | ... | ... | ... | 32 |
Complite the following table given that x varies directly as y .
| x | 6 | 8 | 10 | ... | 20 |
| y | 15 | 20 | ... | 40 | ... |
A and B can finish a work in 20 days. A alone can do \[\frac{1}{5}\] th of the work in 12 days. In how many days can B alone do it?
A and B can do a piece of work in 20 days and B in 15 days. They work together for 2 days and then A goes away. In how many days will B finish the remaining work?
If the weight of 12 sheets of thick paper is 40 grams, how many sheets of the same paper would weigh 2.5 kilograms?
If half a meter of cloth costs ₹ 15. Find the cost of `8 1/3` meters of the same cloth
From the following table, determine if x and y are in direct proportion or not.
| x | 1 | 4 | 9 | 20 |
| y | 1.5 | 6 | 13.5 | 30 |
A swimming pool can be filled in 4 hours by 8 pumps of the same type. How many such pumps are required if the pool is to be filled in `2 2/3` hours?
Campus and Welfare Committee of school is planning to develop a blue shade for painting the entire school building. For this purpose various shades are tried by mixing containers of blue paint and white paint. In the following mixtures, decide which is a lighter shade of blue and also find the lightest blue shade among all of them.
| Mixture E | Mixture F |
 |
 |
If one container has one litre paint and the building requires 105 litres for painting, how many container of each type is required to paint the building by darkest blue shade?
Match each of the entries in Column I with the appropriate entry in Column II
| Column I | Column II |
| 1. x and y vary inversely to each other | A. `x/y` = Constant |
| 2. Mathematical representation of inverse variation of quantities p and q |
B. y will increase in proportion |
| 3. Mathematical representation of direct variation of quantities m and n |
C. xy = Constant |
| 4. When x = 5, y = 2.5 and when y = 5, x = 10 | D. `p oo 1/q` |
| 5. When x = 10, y = 5 and when x = 20, y = 2.5 | E. y will decrease in proportion |
| 6. x and y vary directly with each other | F. x and y are directly proportional |
| 7. If x and y vary inversely then on decreasing x | G. `m oo n` |
| 8. If x and y vary directly then on decreasing x | H. x and y vary inversely |
| I. `p oo q` | |
| J. `m oo 1/n` |
