Let the number of boxes filled, by using 20 bottles in each box, be x.
The following table is obtained.
| Number of bottles | 4 | x |
|---|---|---|
| Number of boxes | 3 | 4 |
More the number of bottles, lesser will be the number of boxes.
Hence, the number of bottles and the number of boxes required to pack these are inversely proportional to each other.
Therefore,
\(12 × 25 = 20× x\)
\(x = \frac{12 × 25 }{ 20} \)
\(=15\)
Hence, the number of boxes required to pack these bottles is 15.
| Number of spokes | 4 | 6 | 8 | 10 | 12 |
|---|---|---|---|---|---|
| Angle between a pair of consecutive spokes | 90° | 60° | … | … | … |
(i) Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse proportion?
(ii) Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes.
(iii) How many spokes would be needed, if the angle between a pair of consecutive spokes is 40°?
Fill in the blanks in the sentences below (the verbs given in brackets will give you a clue).
(i) The earth trembled, but not many people felt the ____. (tremble)
(ii) When the zoo was flooded, there was a lot of _____ and many animals escaped into the countryside. (confuse)
(iii) We heard with _____ that the lion had been recaptured. (relieve)
(iv) The zookeeper was stuck in a tree and his _____ was filmed by the TV crew. (rescue)
(v) There was much _____ in the village when the snake charmer came visiting. (excite)