Advertisements
Advertisements
Question
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
Solution
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
RELATED QUESTIONS
Complite the following table given that x varies directly as y .
| x | 5 | ... | 10 | 35 | 25 | ... |
| y | 8 | 12 | ... | ... | ... | 32 |
A can do a piece of work in 40 days and B in 45 days. They work together for 10 days and then B goes away. In how many days will A finish the remaining work?
A dozen bananas costs ₹ 20. What is the price of 48 bananas?
A group of 21 students paid ₹ 840 as the entry fee for a magic show. How many students entered the magic show if the total amount paid was ₹ 1680?
The shadow of a pole with height of 8 m is 6 m. If the shadow of another pole measured at the same time is 30 m, find the height of the pole?
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
The distance travelled by CNG bus and the amount of CNG used.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
Area of the walls of a room and the cost of white washing the walls.
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?
Pattern B consists of four tiles like pattern A. Write a proportion involving red dots and blue dots in pattern A and B. Are they in direct proportion? If yes, write the constant of proportion.
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?
