The total number of gifts = x+y.
The inequality is:

Key chains cost $1, Magnets $0.50
Total Cost = x + 0.5y
Inequality is:

Without graphing you can solve system by using substitution:

This is one solution where the maximum x value is given.
So the most keychains that can be purchased is 16. However, because magnets are cheaper, more can be purchased as long as cost remains under 20.
If you solve both inequalities for "y", you get the upper and lower bounds for how many magnets can be purchased given a quantity of keychains.

This is complete solution which gives all possible combinations.
(Graph is Attached)
Divide 1107 by 10, for example:
1107/10= 110.7
The decimal point means the remainder, this means John will only get 7 chocolate bars.
If You want it split evenly between ALL of them, divide by 1107 by 11, for example:
1107/11= 100.6, which would leave six bars left, so I think the logical offer would be the first answer I gave you.
I hope this helped!
Answer:

Step-by-step explanation:
The given polynomial function is

According to the Rational Roots Theorem, the ratio of all factors of the constant term expressed over the factors of the leading coefficient.
The potential rational roots are




Each notch should equal -3 (the difference between -10 and -4 is 6), meaning that the blue dot should be -19