Question

Jane has 17 phone cards worth either $ 20 or $ 15. How many of each does he have if the cards total $ 315 ?"

Answer 1

Jane has 6 phone cards worth $20 each and 11 phone cards worth $15 each.

Step-by-step explanation:

Let's assume Jane has x phone cards worth $20 each and (17 - x) phone cards worth $15 each.

The total value of the $20 cards would be 20x, and the total value of the $15 cards would be 15(17 - x).

Since the sum of the values of all the cards is $315, we can write the equation: 20x + 15(17 - x) = 315.

Simplifying the equation gives us 20x + 255 - 15x = 315.

Combining like terms and solving the equation, we find that x = 6.

Therefore, Jane has 6 phone cards worth $20 each and (17 - 6) = 11 phone cards worth $15 each.