Question

Veronica and Natalie got gift cards worth $20 and others worth $15. Together Veronica and Natalie got a otal of 12 gift cards worth $195. How many gift cards worth $20 (x) and gift cards worth $15 (y) each

Answer 1

Veronica and Natalie have 3 gift cards worth $20 each and 9 gift cards worth $15 each.

Step-by-step explanation:

To determine the number of $20 gift cards (x) and $15 gift cards (y) Veronica and Natalie received, we can set up a system of equations based on the information provided:

• The sum of the gift cards is 12.
• The total value of the gift cards is $195.

So, our system of equations is:

• x + y = 12 (1)
• $20x + $15y = $195 (2)

We can solve this system using substitution or elimination. Let's use substitution:

1. Solve equation (1) for y: y = 12 - x.
2. Substitute y = 12 - x into equation (2): $20x + $15(12 - x) = $195.
3. Simplify and solve for x: $20x + $180 - $15x = $195, which simplifies to 5x = 15, so x = 3.
4. Substitute x = 3 into y = 12 - x to find y: y = 12 - 3, so y = 9.

Therefore, Veronica and Natalie have 3 gift cards worth $20 and 9 gift cards worth $15 each.