Advertisements
Advertisements
Question
A mixture of paint is prepared by mixing 1 part of red pigments with 8 parts of base. In the following table, find the parts of the base that need to be added.
| Parts of red pigment | 1 | 4 | 7 | 12 | 20 |
| parts of base | 8 | .... | .... | .... | .... |
Advertisements
Solution
The given mixture of paint is prepared by mixing 1 part of red pigments with 8 parts of base. For more parts of red pigments, the parts of the base will also be more.
Therefore, the parts of red pigments and the parts of the base are in direct proportion. The given information, in the form of a table, is as follows.
According to direct proportion,
`x_1/4 = 8/1`
=> x1 = 4 × 8
= 32
`x_2/7 = 8/1`
=> x2 = 7 × 8
= 56
`x_3/12 = 8/1`
=> x3 = 8 × 12
= 96
`x_4/20 = 8/1`
=> x4 = 8 × 20
= 160
The table can be drawn as follows:
| Parts of red pigment | 1 | 4 | 7 | 12 | 20 |
| parts of base | 8 |
32 |
56 | 96 | 160 |
APPEARS IN
RELATED QUESTIONS
A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours?
Which of the following quantities vary directly with each other?
(i) Number of articles (x) and their price (y).
(ii) Weight of articles (x) and their cost (y).
(iii) Distance x and time y, speed remaining the same.
(iv) Wages (y) and number of hours (x) of work.
(v) Speed (x) and time (y) (distance covered remaining the same).
(vi) Area of a land (x) and its cost (y).
If 12 boys earn Rs 840 in 7 days, what will 15 boys earn in 6 days?
If 45 persons can complete a work in 20 days, then the time taken by 75 persons will be ______ hours.
When two quantities are related in such a manner that, if one increases, the other also increases, then they always vary directly.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
Distance travelled by an auto-rickshaw and time taken.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
The number of people working and the quantity of work.
l varies directly as m and l is equal to 5, when `m = 2/3`. Find l when `m = 16/3`.
A car covers a distance in 40 minutes with an average speed of 60 km/h. What should be the average speed to cover the same distance in 25 minutes?
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 C | Mixture D |
 |
 |
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?
