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Ayden is thinking of a certain number. if 3/5 of the number is 24, what is 5/8 of the number?
A) 25
B) 40
C) 28
D) 32


Sagot :

Answer:

A

Step-by-step explanation:

let the number be n , then

[tex]\frac{3}{5}[/tex] of n is 24 , that is

[tex]\frac{3}{5}[/tex] n = 24 ( multiply both sides by 5 to clear the fraction )

3n = 5 × 24 = 120 ( divide both sides by 3 )

n = [tex]\frac{120}{3}[/tex] = 40

The number is 40

[tex]\frac{5}{8}[/tex] of 40

= [tex]\frac{5}{8}[/tex] × 40 ( cancel 8 and 40 by 8 )

= 5 × 5

= 25