Question

Sarah has a total of 52 DVDs and CDs. If the number of CDs is two more than four times the number of DVDs, how many CDs does she have?

Answer 1

let x = number of CDS
let y = number of DVDS

4x+2+4y=52
4y+2+4y=52
8y=50
y=50/8
y=6.25

number of CDS= 4x + 2 = 4(6.25) + 2 = 27

Answer 2

Wait so you get 4x= 25 and x is 6.25...? @JayDS

Answer 3

What is that answer? @JayDS

Answer 4

yes, that is correct.

Answer 5

I was even able to double check the answer.

Answer 6

So she has 6.25 CDs....? Haha

Answer 7

how? by subbing the values back into the equation. Yeh I find it weird as well haha, but it works, let me show you.

Answer 8

let x = number of CDS << 4x+2 we can make it 4y + 2, because we have to make it in terms of number of DVDS(y) to solve it.
let y = number of DVDS <<4y

4y+2+4y=52
since we figured out that y=6.25
4(6.25) + 2 + 4(6.25) = 52

Answer 9

Oh ok. I see. So she definitely has 6.25 CDs. The answer is 6.25 correct? Lol just making sure!! @JayDS

Answer 10

well it works lol.

Answer 11

:|

Answer 12

but not that it practically makes sense in reality unless you think of it this way that the 0.25 is 1/4 of a broken CD.