Answered

Grace thought of a number, added 7, multiplied by 3, took away 5 and divided by 4 to give an answer of 7.

Answer :

Answer:

The number Grace took was 4.

Step-by-step explanation:

Let us assume that she took a number 'x'

Now she added 7 in it, [tex]x+7[/tex]

Then multiplied by 3 ,  [tex]3(x+7)[/tex] = [tex]3x+21[/tex]

Then took away or subtracted 5.

[tex]3x+21-5=3x+16[/tex]

And divided by 4 to get answer 7.

[tex]\frac{3x+16}{4}=7[/tex]

Now we will solve this to get x.

[tex]3x+16=28[/tex]

[tex]=> 3x=28-16[/tex]

[tex]=> 3x=12[/tex]

x = 4

Hence, the number Grace took was 4.

The number Grace thought of is 4.

Let x represent the number Grace thought of.

Adding 7 to the number yields : x + 7

The sum of the number multiplied by 3: 3(x +7)

The result is subtracted by 5 : 3(x +7) - 5

This is now divided by 4 to give and answer of 7. This can be represented with: [ 3(x +7) - 5 ] / 4 = 7

In order to determine the value of x, the following steps would be taken:  

Multiply both sides of the equation by 4

3(x +7) - 5 = 28

Expand the bracket:

3x + 21 - 5 = 28

Add similar terms

3x + 16 = 28

Combine similar terms

3x = 28 - 16

3x = 12

Divide both sides of the equation by 3

x = 4

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