Question

Arthur has 6 more than 5 times the number of pencils as Jenny. If Arthur and Jenny combined have 30 pencils, how many pencils does Jenny have?

Answer 1

Jenny has 4 pencils.

Explanation:

Let

Jenny has pencils = x

Arthur has pencils = 5x+6 (Arthur has 6 more than 5 times the number of pencils as Jenny. )

Total pencils = 30

We need to find how many pencils does Jenny have.

We basically can write the equation:

Total pencils = Jenny pencils + Arthur pencils

Putting values and solving to find value of x:

`30=x+5x+6\\30=6x+6\\30-6=6x\\24=6x\\=> 6x=24\\x=(24)/(6)\\x=4`

So, we have value of x = 4

Now, finding number of Jenny pencils:

Jenny has pencils = x = 4

Therefore, Jenny has 4 pencils.