Question

Maria has a collection of 40 baseball cards, of which x cards are damaged. The value of each undamaged card is 5 dollars and the value of each damaged card is 3 dollars. The expression below represents the total value, in dollars, of Maria's collection.
5(40−x)+3x
Which quantity does the second factor of the first term represent?

A
the number of undamaged cards

B
the value of each undamaged card

C
the value of each damaged card

D
the total value of the undamaged cards

Answer 1

(40 - x) represents A. the number of undamaged cards

Step-by-step explanation:

Step 1; Maria has a total of 40 cards out of which x number of cards are damaged so 40 - x cards are undamaged. The value of an undamaged card is 5 dollars whereas every damaged card has a value of 3 dollars.

Step 2; We need to determine what each term in equation 5(40−x)+3x represents. The equation will give us how much total value Maria's card collection has.

The first term 5 (40 - x) signifies the total value of the undamaged cards in the deck where (40 - x) equals the total number of undamaged cards.

The second term represents the total value of the undamaged cards.

So the second factor of the first term i.e (40 - x) represents the amount of undamaged cards in her collection.