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Cadence has a collection of 52 dolls that all have either blue-eyes or green-eyes. Cadence has 16 more blue-eyed dolls than green-eyed dolls. How many green-eyed dolls does Cadence have? How many blue-eyed dolls?​

1 Answer

2 votes

Answer:

18 green eyed dolls and 34 blue eyed dolls

Explanation:

Cadence has a total of 52 dolls, either green eyed or blue eyed so lets take the number of green eyed dolls as g and the number of blue eyed dolls as b. So you have

b + g = 52

also we know b is 16 greater than g so

b - 16 = g

transpose 16 & g

b - g = 16

Now we add the equations

b+g = 52

b-g = 16

______

2b = 68

(+g and -g cancel each other out)

so b = 34

If we put 34 into an earlier equation

34 + g = 52

g = 52 - 34

g= 18

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