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if one fourth of a certain number is added to three eighths of the number, the sum is 15 find the number.

Sagot :

Number(x) is 24. Try it
Let the number be x.

Equation:
[tex] \frac{1}{4} x + \frac{3}{8} x = 15 [/tex]

LCD : (4)(8)

Multiply each term by (4)(8):

[tex](4)(8) \frac{1}{4} x + (4)(8) \frac{3}{8}x = 15 (4)(8)[/tex]

8x + 12x = 480

20x = 480

(20x)/20 = 480/20

x = 24   

The number is 24.

To check:

[tex] \frac{1}{4} (24)+ \frac{3}{8} (24) = 15[/tex]

6 + 9 = 15
15 = 15