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Problem number 26 of the Rhind Papyrus says: Find a quantity such that when it is added to StartFraction 1 Over 4 EndFraction of itself the result is a 15. The modern day equation that models this problem is x plus StartFraction 1 over 4 EndFraction x equals 15.. What is the solution to the equation? x = 10 x = 12 x = 15 x = 30

Respuesta :

akposevictor

Answer:

[tex] x = 12 [/tex]

Step-by-step explanation:

x = the quantity to find

This quantity added to ¼ of itself gives 15.

Thus, this problem can be represented as given above:

[tex] x + \frac{1}{4}x = 15 [/tex]

Solve for x

[tex] x + \frac{x}{4} = 15 [/tex]

[tex] \frac{4x + x}{4} = 15 [/tex]

[tex] \frac{5x}{4} = 15 [/tex]

Multiply both sides by 4

[tex] \frac{5x}{4}*4 = 15*4 [/tex]

[tex] 5x = 60 [/tex]

Divide both sides by 5

[tex] \frac{5x}{5} = \frac{60}{5} [/tex]

[tex] x = 12 [/tex]

beldridge06

Answer:

B

Step-by-step explanation:

2020 edge

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