The ratio of the lengths of strings that play the notes F and G is 9 to 8. If a string 40 centimeters long plays a G, what is the length of the string that plays an F? Express your answer as an integer or mixed number.
F(length)/G(length) = 9/8 = F/40 cm
F = (9/8) x 40 = ?
The answer will be an integer in this case.
45
I think the answer is 45
To solve this problem, we can set up a proportion using the given ratio of the lengths of the strings that play the notes F and G.
Let's say the length of the string that plays F is x centimeters.
According to the ratio, we can write the proportion as:
x/40 = 9/8
To solve for x, we can cross-multiply:
8x = 40 * 9
8x = 360
Now, divide both sides by 8 to solve for x:
x = 360 / 8
x = 45
Therefore, the length of the string that plays an F is 45 centimeters.