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
The amount of extension in an elastic string varies directly as the weight hung on it. If a weight of 150 gm produces an extension of 2.9 cm, then what weight would produce an extension of 17.4 cm?
Reema weaves 35 baskets in 25 days. In how many days will she weave 55 baskets?
A cistern has two inlets A and B which can fill it in 12 hours and 15 hours respectively. An outlet can empty the full cistern in 10 hours. If all the three pipes are opened together in the empty cistern, how much time will they take to fill the cistern completely?
A truck requires 108 liters of diesel for covering a distance of 594 km. How much diesel will be required to cover a distance of 1650 km?
If the cost of 3 books is ₹ 90, then find the cost of 12 books.
Two quantities are said to vary ______ with each other if they increase (decrease) together in such a manner that the ratio of their corresponding values remains constant.
If two quantities x and y vary directly with each other, then ______ of their corresponding values remains constant.
From the following table, determine if x and y are in direct proportion or not.
| x | 3 | 6 | 15 | 20 | 30 |
| y | 12 | 24 | 45 | 60 | 120 |
If 25 metres of cloth costs Rs 337.50, then what will be the cost of 40 metres of the same type of cloth?
The following table shows the distance travelled by one of the new eco-friendly energy-efficient cars travelled on gas.
| Litres of gas | 1 | 0.5 | 2 | 2.5 | 3 | 5 |
| Distance (km) | 15 | 7.5 | 30 | 37.5 | 45 | 75 |
Which type of properties are indicated by the table? How much distance will be covered by the car in 8 litres of gas?
