All possible values for the number of quarters that he could have would be 15.6 ≤ y ≤ 18.
Given that, Jayden has at most 25 coins worth at least $4.60 combined.
<h3>What are inequalities?</h3>
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Let x represent the number of dimes that Jayden has.
Let y represent the number of quarters that Jayden has.
Jayden has some dimes and some quarters. He has at most 25 coins. It means that
x + y ≤ 25
The coins worth at least $4.60 combined. It means that
0.1x + 0.25y ≥ 4.6 ---------(1)
If Jayden has 7 dimes, then
7 + y ≤ 25
y ≤ 25 - 7
y ≤ 18
Substituting x = 7 into inequality (1), it becomes
0.1 × 7 + 0.25y ≥ 4.6
0.7 + 0.25y ≥ 4.6
0.25y ≥ 4.6 - 0.7
0.25y ≥ 3.9
y ≥ 3.9/0.25
y ≥ 15.6
Therefore, all possible values for the number of quarters that he could have would be 15.6 ≤ y ≤ 18.
To learn more about the inequalities visit:
brainly.com/question/20383699.
#SPJ1