Question

There are 16 more white keys than black keys on a full sized piano keyboard. There are 88 keys on a piano. Write this as an algebraic expression

Answer 1

To express the relationship between the number of white keys and black keys on a full-sized piano keyboard in algebraic terms, let x represent the number of black keys. Since there are 16 more white keys, the expression for the total keys is x (black keys) + (x + 16) (white keys) = 88.

Step-by-step explanation:

To write an algebraic expression for the scenario where there are 16 more white keys than black keys on a full sized piano keyboard with a total of 88 keys, we can let the number of black keys be represented by x. Since there are 16 more white keys than black keys, the number of white keys will be x + 16. The total number of keys on the piano is the sum of the number of white keys and the number of black keys, which is 88. Therefore, we can write the algebraic expression as:

x + (x + 16) = 88

This expression can be simplified by combining like terms:

2x + 16 = 88

The expression 2x + 16 = 88 represents the relationship between the number of black keys (x) and the total number of keys on a piano.