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Sophia has three stickers for every two stickers that Ethan has.
If Sophia gives Ethan 16 of her stickers, then Ethan will have twice as many stickers as Sophia has.
How many stickers do Sophia and Ethan have all together?

Answer :

ken2846

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

The number of  stickers both Sophia and Ethan have all together is 60 stickers.

Number of stickers

Sophia start with 3N stickers

Ethan start with 2N stickers

Both had 5N (3+2) stickers

After transfer,

Ethan has 2N + 16

Sophia has 3N – 16

Ethan has twice as many as Sophia

Formulate

2 × (3N – 16) = 2N + 16

6N – 32 = 2N + 16

Collect like terms

4N = 48
Divide both side by 4N

N=48/4

N = 12

Hence:

Sophia and Ethan stickers=5 × 12

Sophia and Ethan stickers= 60 stickers

Inconclusion the number of  stickers both Sophia and Ethan have all together is 60 stickers.

Learn more about number of stickers here:https://brainly.com/question/351654

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