Question

Aaron has 2 nickels and y pennies. He has no less than 20 coins worth no more than$0.40 combind. Solve this system of inequalities graphically and determine onepossible solution.

Answer 1

From the given info, we can write:

Aaron has minimum of 20 coins, since 2 nickels and y pennies,

y should be greater than or equal to 20 - 2 = 18

Hence,

y≥18

As for value,

2 nickels worth 2 (0.05) = 0.10

So the max value of pennies would be 0.40 - 0.10 = 0.30

We can say:

2n+yp≤0.40

yp≤0.30

Each penny is 1 cent, so the answer would be BETWEEN 18 and 30

We can have 18 pennies, 19 pennies, 20 pennies, ...., until 30 pennies.

Note:

y≥18

and

y≤30