Question

Victoria has 1.90 worth of nickels and dimes. She has two more nickels than dimes. Write a system of equation that could be used to determine the number of nickels and the number of dimes that victoria has.

Answer 1

Answer: The system of equations are

0.1x + 0.05y = 1.9

y = x + 2

Step-by-step explanation:

The worth of a dime is 10 cents. Converting to dollars, it becomes

10/100 = $0.1

The worth of a nickel is 5 cents. Converting to dollars, it becomes

5/100 = $0.05

Let x represent the number of dimes that Victoria has.

Let y represent the number of nickels that Victoria has.

Victoria has 1.90 dollars worth of nickels and dimes. The expression would be

0.1x + 0.05y = 1.9

She has two more nickels than dimes. This is expressed as

y = x + 2