Question

On Monday, I bought 3 phone chargers and 4 decks of cards for $24.97. On Tuesday, I bought 5 phone chargers and 3 decks of cards for $32.45. How much does each item cost?

a) $2.99
b) $3.49
c) $4.99
d) $5.99

Answer 1

The cost of each phone charger is $4.99, and the cost of each deck of cards is $2.50.

Step-by-step explanation:

To find the cost of each item, we need to set up a system of equations using the given information. Let's assume the cost of each phone charger is x dollars and the cost of each deck of cards is y dollars.

From the first equation, we have 3x + 4y = 24.97. From the second equation, we have 5x + 3y = 32.45.

Now, we can solve this system of equations to find the values of x and y. Multiplying the first equation by 3 and the second equation by 4, we get:

9x + 12y = 74.91

20x + 12y = 129.80

By subtracting the first equation from the second equation, we get:

20x - 9x = 129.80 - 74.91

11x = 54.89

x = 4.99

Substituting the value of x in the first equation, we get:

3(4.99) + 4y = 24.97

14.97 + 4y = 24.97

4y = 24.97 - 14.97

4y = 10

y = 2.50

Therefore, each phone charger costs $4.99 and each deck of cards costs $2.50.