Question

Question 3

Answer 1

Answer:

E. 62

Step-by-step explanation:

Answer:

blue = 32

red = 62

Answer 2

Answer:

  E.  62

Step-by-step explanation:

If we let r, g, b represent the numbers of red, green, and blue disks, respectively, we are given the following relations:

  r + g + b = 105 . . . . there are 105 disks, total

  r -g = 30 . . . . . . . . . there are 30 more reds than greens

  g -b = 21 . . . . . . . . . there are 21 more greens than blues

We can use the third equation to substitute for b in the first equation.

  b = g -21 . . . . . third equation solved for b

  r + g + (g -21) = 105 . . . . substituted into the first equation

  r +2g = 126 . . . . . . . . . . . add 21 and simplify

Now, we can use the second equation to substitute for g in the one we have just written.

  g = r -30 . . . . . . second equation solved for g

  r +2(r -30) = 126 . . . . . . substituted into our equation for r and g

  3r = 186 . . . . . . . . . . . . . simplify and add 60

  r = 62 . . . . . . . . . divide by 3

Senja has 62 red disks.

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Additional comment

g = 62 -30 = 32

b = 32 -21 = 11

Senja has 11 blue and 32 green disks, as well.