Question

A package of 25 baseball cards sells for 2.00, and a package of 100 of the cards sells for 6.50. The cards in the larger package sell for how many cents less per card than the cards in the smaller package?

1) 1/2
2) 1 1/2
3) 2
4) 2 1/2

Answer 1

The cards in the larger package sell for 1.5 cents less per card than the cards in the smaller package.

Step-by-step explanation:

To find the price difference per card between the two packages, we first need to calculate the price per card for each package. For the smaller package of 25 cards, the price per card is given by dividing the total price ($2.00) by the number of cards (25), which gives us $0.08 per card. For the larger package of 100 cards, the price per card is given by dividing the total price ($6.50) by the number of cards (100), which gives us $0.065 per card.

To find the difference in price per card, we subtract the price per card of the larger package from the price per card of the smaller package: $0.08 - $0.065 = $0.015.

Therefore, the cards in the larger package sell for 1.5 cents less per card than the cards in the smaller package.