Question

Irina has 10 coins, all nickels and dimes, worth a total of $0.70. This is shown by the system of linear equations, x + y = 10 and 0.05x + 0.1y = 0.7, on the graph.

How many nickels does she have?

Answer 1

Irina has 6 nickels.

Explanation:

Irina has 10 coins all nickels and dimes worth of $0.70

1 Dime = $0.10 and 1 Nickel = $0.05

Let x be the numbers of nickels and y be the number of dimes with Irina.

So the equation formed will be x + y = 10 and 0.05x +0.1y = 0.7

As per graph solution of the system of equations is (6, 4) that shows number of nickels = 6 and number of Dimes = 4.

Therefore, Irina has 6 nickels.