Question

Ariana has a dimes and y nickels. She has at most 12 coins worth a minimum of

Answer 1

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 = $a$

Number of nickels = $y$

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:

$a+y \leq 12$ ...... (1)

One dime is worth 10 cents or $0.10.

$a$ number of dimes are worth $0.10$a$.

One nickel is worth 5 cents or $0.05.

$y$ number of nickels are worth $0.05$y$.

Second inequality can be written as:

$0.10a + 0.05 \ge 0.85$

OR

$2a+y\ge17$ ...... (2)

$a \ge 0, y \ge 0$ ...... (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.