Answer:
The number of fast songs is 64 and the number of slow songs is 32
Step-by-step explanation:
∵ Y represents the number of fast songs
∵ x represents the number of slow dance songs
∵ John gets to play a total of 96 songs at his school dance
→ That means the sum of x and y is 96
∴ x + y = 96 ⇒ (1)
∵ He wants twice as many fast songs, y, as slow dance songs, x
→ That means y is twice x
∴ y = 2x ⇒ (2)
→ Substitute y in equation (1) by equation (2)
∵ x + 2x = 96
∴ 3x = 96
→ Divide both sides by 3 to find x
∴ [tex]\frac{3x}{3}=\frac{96}{3}[/tex]
∴ x = 32
→ Substitute the value of x in equation (2) to find the value of y
∵ y = 2(32)
∴ y = 64
∴ The number of fast songs is 64 and the number of slow songs is 32
