Question

Dany bought a total of 20 game cards some of which cost $0.25 each and some of which cost $0.15 each. If dany spent $4.20to buy these cards,how many cards of each type did he buy?

Answer 1

To determine how many game cards of each type Dany bought, we can solve a system of equations using the cost and total number of cards as clues.

Step-by-step explanation:

Let's assume that Dany bought x game cards that cost $0.25 each and y game cards that cost $0.15 each.

Based on this information, we can form the following equation:

x(0.25) + y(0.15) = 4.20

We also know that Dany bought a total of 20 game cards, so we can form a second equation:

x + y = 20

We can solve this system of equations using substitution or elimination methods to find the values of x and y. Once we find those values, we will know how many game cards of each type Dany bought.

Answer 2

For this case we have to:

x: Represents the $ 0.25 game cards

y: Represents the $ 0.15 game cards

We have then:

`0.25x + 0.15y = 4.20\\x + y = 20`

From the second equation we have:

`x = 20-y`

Substituting in the first equation:

`0.25 (20-y) + 0.15y = 4.20\\5-0.25y + 0.15y = 4.20\\5-0.1y = 4.20\\-0.1y = 4.20-5\\-0.1y = -0.8\\y = \frac {0.8} {0.1}\\y = 8`

So, I buy 8 game cards for $ 0.15

On the other hand we have:

`x = 20-8\\x = 12`

So, I buy 12 game cards for $0.25

Answer:

Buy 8 game cards for $0.15

Buy 12 game cards for $0.25