Amy needs to mail a gift card to a friend. She uses 41-cent stamps and 6-cent stamps to pay $2.12 in postage. How many of each stamp did Amy use?

Answer:Amy used 4 41-cent stamps and 8 6-cent stamps.

Step-by-step explanation:

Let x represent the number of 41-cent stamps that Amy used. Let y represent the number of 6-cent stamps that Amy used.

41 cents = 41/100 = $0.41

6 cents = 6/100 = $0.06

She uses 41-cent stamps and 6-cent stamps to pay $2.12 in postage. It means that

0.41x + 0.06y = 2.12

Multiplying through by 100, it becomes

41x + 6y = 212

6y = 212 - 41x

We would test for corresponding values of x and y that satisfies the equation and they must be whole numbers.

If x = 3,

6y = 212 - 41 * 3 = 89

y = 89/6 = 14.8333

If x = 4,

6y = 212 - 41 * 4 = 48

y = 48/6 = 8