Ratios!!!!

posted by Help!!!!!

8. Abby, Ingrid, and John are sharing a bag of candy in the extended ratio 2:3:4. If there are sixty three candies in the bag, then how many will Ingrid get?

A. 7
B. 14***
C. 21
D. 28

9. Which of the following are equivalent to the ratio 3ab:27ab? Select all that apply.

A. 1:9
B. 9a:81a***
C. a:b
D. a:3b***
E. 2:18***
F. 3b:27a

10. Which of the following are equal to the ratio (2 x-6) : (6x-4)?

A. -2 : 1
B. x - 3: 3x - 2***
C. 3x : x
D. (4x-12) : (12x - 8)
E. x - 1 : x - 2***

Please check and help :( I think I'm wrong on at least half but I have no idea

  1. Steve

    #8
    2x+3x+4x = 63
    x = 7
    So, the actual quantities are

    14:21:28

    #9
    3ab/27ab = 1/9
    So, A,B,E are the equivalent ratios. D doesn't get rid of the a,b stuff.

    Odd how you could get B and E right, but miss A and pick D...

    #10
    B and D only

  2. Bosnian

    8.

    A = Abby's part

    I = Ingrid's part

    J = John's part

    There are sixty three candies in the bag.

    This mean:

    A + I + J = 63


    A / I / J = 2 / 3 / 4

    This mean :

    A / I = 2 / 3

    I / J = 3 / 4

    so:

    A / I = 2 / 3 Multiply both sides by I

    A = 2 I / 3

    A = ( 2 / 3 ) I

    I / J = 3 / 4 Multiply both sides by 4

    4 I / J = 3 Multiply both sides by J

    4 I = 3 J Divide both sides by 3

    4 I / 3 = J

    J = 4 I / 3

    J = ( 4 / 3 ) I


    Replace this value in equation:

    A + I + J = 63

    ( 2 / 3 ) I + I + ( 4 / 3 ) I = 63

    ( 2 / 3 ) I + ( 3 / 3 ) I + ( 4 / 3 ) I = 63

    ( 9 / 3 ) I = 63

    3 I = 63 Divide both sides by 3

    I = 63 / 3 = 21


    9.

    3 a b : 27 a b = 3 a b : ( 9 * 3 a b ) = ( 3 a b : 3 a b ) * 1 : 9 = 1 * 1 : 9 = 1 : 9


    10.

    ( 2 x - 6 ) : ( 6 x - 4 ) =

    2 * ( x - 3 ) : [ 2 * ( 3 x - 2 ) ] =

    (2 : 2 ) ( x - 3 ) : ( 3 x - 2 ) =

    1 * ( x - 3 ) : ( 3 x - 2 ) =

    ( x - 3 ) : ( 3 x - 2 )

  3. Help!!!!!

    Thank you guys!

  4. Bosnian

    Remark :

    1 * ( x - 3 ) : ( 3 x - 2 ) =

    ( x - 3 ) : ( 3 x - 2 )

    4 / 4 = 1 so :

    ( 4 / 4 ) * ( x - 3 ) : ( 3 x - 2 )

    4 * ( x - 3 ) : [ 4 * ( 3 x - 2 ) ] =

    ( 4 x - 12 ) : ( 12 x - 8 )

    Question 10

    Answers B and D

  5. Mr.RightGuy

    The entire Practice test- in order 1-10

    B
    C
    D
    C
    D
    A
    C
    C
    A-B-E
    B-D

  6. Anonymous

    Thanks Mr.RightGuys

  7. Zolita

    @Mr.RightGuy 100% thanks

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