Advertisements
Advertisements
प्रश्न
Suppose 2 kg of sugar contains 9 × 106 crystals.
How many sugar crystals are there in
- 5 kg of sugar?
- 1.2 kg of sugar?
Advertisements
उत्तर
i. Let the number of sugar crystals in 5 kg of sugar be x.
The given information, in the form of a table, is as follows:
| Amount of sugar (in kg) | 2 | 5 |
| Number of crystals | 9 × 106 | x |
The amount of sugar and the number of crystals it contains are directly proportional to each other. Therefore, we obtain
⇒ `2/(9xx10^6) = 5/x`
⇒ x = `(5xx9xx10^6)/2`
⇒ x = `(5xx9xx100000)/2`
⇒ x = 2.25 × 107
Hence, the number of sugar crystals is 2.25 × 107
ii. Let the number of sugar crystals in 1.2 kg of sugar be y. The given information, in the form of a table, is as follows:
| Amount of sugar (in kg) | 2 | 1.2 |
| Number of crystals | 9 × 106 | y |
⇒ `2/1.2 = (9xx10^6)/y`
⇒ `y = (1.2xx9xx10^6)/2`
⇒ y = 5.4 × 106
Hence, the number of sugar crystals is 5.4 x 106
APPEARS IN
संबंधित प्रश्न
A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time the height of a pole which casts a shadow 5 m long.
If the cost of 93 m of a certain kind of plastic sheet is Rs 1395, then what would it cost to buy 105 m of such plastic sheet?
A and B can do a piece of work in 12 days; B and C in 15 days; C and A in 20 days. How much time will A alone take to finish the work?
Aasheesh can paint his doll in 20 minutes and his sister Chinki can do so in 25 minutes. They paint the doll together for five minutes. At this juncture they have a quarrel and Chinki withdraws from painting. In how many minutes will Aasheesh finish the painting of the remaining doll?
6 men can complete the electric fitting in a building in 7 days. How many days will it take if 21 men do the job?
A birthday party is arranged in third floor of a hotel. 120 people take 8 trips in a lift to go to the party hall. If 12 trips were made how many people would have attended the party?
Both x and y are in direct proportion, then `1/x` and `1/y` are ______.
The perimeter of a circle and its diameter vary ______ with each other.
If 25 metres of cloth costs Rs 337.50, then what will be the cost of 40 metres of the same type of cloth?
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?
