Question

Sophia has three stickers for every two stickers that Ethan has.

Answer 1

Answer:

40

Step-by-step explanation:

Let number of stickers Sophia has be "x" and number of stickers Ethan has be "y"

Now,

Sophia has 3 for every 2 ethan has, that means

3x = 2y

When sophia gives 16, she will have:

3x - 16

Ethan, after getting 16, will have:

2y + 16

This trade will make Ethan to have TWICE, so we can write:

2(3x-16) = 2y + 16

Now, the 1st equation can be written as:

3x = 2y

x = 2y/3

Now replacing this into 2nd, we solve for y:

$2(3x-16) = 2y + 16\\6x-32=2y+16\\6(\frac{2y}{3})-32=2y+16\\4y-32=2y+16\\2y=48\\y=24$

So, x is:

$x=\frac{2y}{3}\\x=\frac{2*24}{3}\\x=16$

Ethan and Sophia has:

24 + 16 = 40 stickers altogether

Answer 2

Answer:

60

Step-by-step explanation:

so you can use an WAY WAY WAY eazier way.

so start with 3 x1 and 3x2 and 3 4 5 6 7 8 9 10 11 12

and 12 x 2=24

and 12x3 = 36

36-16=20

24+16=40

now you see 20 and 40 = 20 x 2 because we need twice as many stickers as Sophia has.

so 20 x 2 =40

so answer = 60