Jane has 15 phone cards worth either $20 or $15. How many of each does he have if the phone
Cards total $245?
A)three $20 cards and twelve $15 cards
B)eleven $20 cards and four $15 cards
C)four $20 cards and eleven $15 cards
D)seven $20 cards and seven $15 cards

Question

Quizplus · Accepted Answer

Let x be the number of $20 cards and y be the number of $15 cards. Then we have the system of equations:
x + y = 15 (Jane has a total of 15 phone cards)
20x + 15y = 245 (the total value of the cards is $245)
Solving for x and y, we get x = 4 and y = 11. Therefore, Jane has four $20 cards and eleven $15 cards. Let x be the number of $20 cards and y be the number of $15 cards. We have the system of equations:
x + y = 15    (total number of cards)
20x + 15y = 245   (total value of the cards)
Solving this system, we get x = 4 and y = 11, which means there are four $20 cards and eleven $15 cards.

Jane Has 15 Phone Cards Worth Either $20 or $15