Question

8. Dai is comparing how many trading cards he has with his friend Maura. Initially, they find that Dai has four

more cards than twice the number that Maura has.


(a) If the number of cards Maura initially has is represented by n, then write an expression for the number of


cards that Dai initially has.


(b) If Dai must give Maura 8 cards so that they have the same amount, set up and solve an equation to


determine the number of cards Maura initially had.

Answer 1

2n + 4

n = 12

Explanation:

Given that :

Initial :

Dai has four more cards than twice the number that Maura has.

Maura's initial card = n

Dai's initial card = 2n + 4

B.)

If Dai must give Maura 8 cards, so they have equal amount

Dai's initial card - 8 = Maura's initial card + 8

2n + 4 - 8 = n + 8

2n - 4 = n + 8

2n - n = 8 + 4

n = 12