Arthur has 6 more than 5 times the number of pencils as Jenny. If Arthur and Jenny combined have 30 pencils, how many pencils do
1 answer:
Answer:
Jenny has 4 pencils.
Step-by-step 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:
So, we have value of x = 4
Now, finding number of Jenny pencils:
Jenny has pencils = x = 4
Therefore, Jenny has 4 pencils.
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Let A, B and C be the amount machines A, B and C, respectively, produce each hour alone.
With all three machines together produce 520 drinks each hour, we know that the addition of the amount that each produces each hour is equal to 520, that is.
Now, similarly, machines A and B produce together 320 drinks each hour, so the sum of the amounts A and B produce each hour is equal to 320, so:
If machine C produce 30 more drinks than B each hour, than the amount of B plus 30 will be the amount of C:
So, we got the system of equations:
To solve, notice that A + B is known, because of the second equation, so we can substitute A + B by 320 in the first equation:
Now, we can substitute C into the third equation and solve for B:
And, finally, we can substitute B into the second equation and solve for A:
Answers:
First box:
Second box:
Third box:
Fourth box: