Question

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

Answer 1

#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

Answer 2

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 )

Answer 3

Thank you guys!

Answer 4

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

Answer 5

The entire Practice test- in order 1-10

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

Answer 6

Thanks Mr.RightGuys

Answer 7

@Mr.RightGuy 100% thanks

Answer 8

what grade is this for