Question

15 points!!

Kecia has only dimes and nickels in her pocket. She has 3 more nickels than dimes. The total value of the coins is $1.50.

How many of each coin does Kecia have?

Select the answers from the drop-down menus to correctly complete the statement.

Answer 1

Kecia has 12 nickels and 9 dimes.

This is true because...

12 x 5 = 60

9 x 10 = 90

90 + 60 = 150

In other words $1.50

Answer 2

Kecia has 9 dimes and 12 nickels.

Explanation:

Let x be the number of dimes Kecia has. She has 3 more nickels than dimes, then she has (x+3) nickels.

1 nickel coin is worth 5 cents and 1 dime coin is worth 10 cents. Then (x+3) nickeals are worth
`5(x+3)` cents and x dimes are worth
`10x` cents. The total value of the coins in Kecia's pocket is $1.50 that is 150 cents, then

`5(x+3)+10x=150.`

Solve this equation:

`5x+15+10x=150,\\ \\5x+10x=150-15,\\ \\15x=135,\\ \\x=9.`

Kecia has 9 dimes and 12 nickels.