Answer:
Solution graph is attached in the answer area.
And one possible solution is (9, 2).
9 number of dimes and 2 number of nickels.
Step-by-step explanation:
Given that:
Number of dimes = [tex]a[/tex]
Number of nickels = [tex]y[/tex]
Total number of coins are at most 12 OR total number of coins are lesser than or equal to 12.
i.e. the inequality can be written as:
[tex]a+y \leq 12[/tex] ...... (1)
One dime is worth 10 cents or $0.10.
[tex]a[/tex] number of dimes are worth $0.10[tex]a[/tex].
One nickel is worth 5 cents or $0.05.
[tex]y[/tex] number of nickels are worth $0.05[tex]y[/tex].
Second inequality can be written as:
[tex]0.10a + 0.05 \ge 0.85[/tex]
OR
[tex]2a+y\ge17[/tex] ...... (2)
[tex]a \ge 0, y \ge 0[/tex] ...... (3)
When we graphically represent the inequalities, the graph attached in the answer area represents the answer.
One solution is (9, 2).
9 number of dimes and 2 number of nickels.
