Grace thought of a number, added 7, multiplied by 3, took away 5 and divided by 4 to give an answer of 7.
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, \(x+7\)
Then multiplied by 3 , \(3(x+7)\) = \(3x+21\)
Then took away or subtracted 5.
\(3x+21-5=3x+16\)
And divided by 4 to get answer 7.
\(\frac{3x+16}{4}=7\)
Now we will solve this to get x.
\(3x+16=28\)
\(=> 3x=28-16\)
\(=> 3x=12\)
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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