Here is a keyboard of a harmonium:
(a) Find the ratio of white keys to blue keys on the keyboard.

(b) What is the ratio of blue keys to all keys on the given keyboard.
(c) This pattern of keys is repeated on a larger keyboard. How many blue keys would you expect to find on a keyboard with 14 such patterns?

Solution:

(a) The ratio of white keys to blue keys on the keyboard is 10:7

(b) The ratio of blue keys to all the keys is 7:17 as there are total 17 keys in the keyboard of the harmonium

(c ) 14 such patterns in the larger keyboard implies that there will be 7 × 14 = 98 blue keys

✦ Try This: Here is a keyboard of a harmonium:

(a) Find the ratio of white keys to blue keys on the keyboard.

(b) What is the ratio of blue keys to all keys on the given keyboard.

(c) This pattern of keys is repeated on a larger keyboard. How many blue keys would you

expect to find on a keyboard with 5 such patterns.

(a)The ratio of the white keys to the blue keys is 20:14 or 10:7

(b) The ratio blue keys to all the keys on the keyboard is 20:34 or 10:17

(c) The number of blue keys on the keyboard containing 5 such patterns is 100 keys.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 13

NCERT Exemplar Class 8 Maths Chapter 10 Problem 101

Here is a keyboard of a harmonium: (a) Find the ratio of white keys to blue keys on the keyboard. (b) What is the ratio of blue keys to all keys on the given keyboard. (c) This pattern of keys is repeated on a larger keyboard. How many blue keys would you expect to find on a keyboard with 14 such patterns

Summary:

(a) The ratio of white keys to blue keys on the keyboard is 10:7 (b) The ratio of blue keys to all the keys is 7:17 (c) There will be 7 × 14 = 98 blue keys on the larger keyboard

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