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Alexi thinks of a number. he multiplies his number by 10 and then divides the answer by 100. he then multiples this answer by 1000 and gets a final answer of 67. What number does Alexi thinks of first ?​ please tell fast

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Janessa07

Answer:

The number Alexis thinks of first is 6.7.

Step-by-step explanation:

Let the number Alexis thinks of be x and the first answer he got be y.

Since he multiplies the number by x and divides the answer by 100, the equation is

10x = y

10x = [tex]\frac{y}{100}[/tex]

Then, he multiplies this answer, [tex]\frac{y}{100}[/tex], by 1000 and gets a final answer of 67. The equation is

[tex]\frac{y}{100}[/tex] × 1000 = 67

To find y, you divide 1000y by 100 which gives 10y.

i.e. [tex]\frac{1000y}{1000} = 67[/tex]

10y = 67

Divide both sides of the equation by the coefficient of y (which is 10)

[tex]\frac{10y}{10} = \frac{67}{10}[/tex]

y = 6.7

Substituting 6.7 for y in 10x = y

10x = 6.7

Divide both sides of the equation by the coefficient of x (which is 10)

[tex]\frac{10x}{10} = \frac{6.7}{10}[/tex]

x = 0.67

∴ The number Alexis thinks of first is 0.67.

Hope this helps!!! :))

mhanifa

Answer:

0.67

Step-by-step explanation:

Solution 1

We can work out the initial number by going backwards from the end:

67/1000= 0.067

0.067*100= 6.7

6.7/10= 0.67

Solution 2

(x*10/100)*1000= 67

x/10*1000= 67

100x= 67

x=67/100

x=0.67

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