One possible solution for the system of inequalities is given as follows:
13 dimes and 2 nickels.
<h3>How to obtain the system of inequalities?</h3>The first step in obtaining the system of inequalities is identifying the variables, which are given as follows:
- Variable x: number of dimes that Tallulah has.
- Variable y: number of nickels that Tallulah has.
Tallulah has at most 18 coins, hence:
x + y ≤ 18.
A nickel is worth 5 cents = $0.05, while a dime is worth 10 cents = $0.1, and Tallulah has at least $1.20 combined, hence:
0.1x + 0.05y ≥ 1.20.
The solution is given by the shaded region on the image given at the end of the answer, and one possible solution is given as follows:
x = 13, y = 2.
Which means that she has 13 dimes and 2 nickels.
More can be learned about a system of inequalities at brainly.com/question/9774970
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