Question

PLEASE HELP!!!! 25-30 points! : )

#1 Solve the proportion.

13-b / 6 = 2-0.5b / 4


A. 72

B. 32

C. 40

D. 64


Please exlpain your answer! :)



#2 Solve the proportion.

x-9 / 3 = 5 / 13

A. 84/5

B. 15/13

C. 132/13

D. 24/13


Please explain your answer! :)



#3 Solve the proportion.

w+14 / 4w+6 = 3/4


A. 19/4

B. 15/28

C. 2/7

D. 8/19


Please explain your answer! :)



#4 Solve the proportion.

x-8 / 5 = 2/4


A. 5/2

B. 9/2

C. 18

D. 21/2


Please explain your answer! :)

Answer 1

(13 - b) / 6 = (2 - 0.5b) / 4
cross multiply
6(2 - 0.5b) = 4(13 - b)
12 - 3b = 52 - 4b
-3b + 4b = 52 - 12
b = 40 <==
====================
(x - 9) / 3 = 5/13
cross multiply
13(x - 9) = 3 * 5
13x - 117 = 15
13x = 15 + 117
13x = 132
x = 132/13
===================
(w + 14) / (4w + 6) = 3/4
cross multiply
3(4w + 6) = 4(w + 14)
12w + 18 = 4w + 56
12w - 4w = 56 - 18
8w = 38
w = 38/8 which reduces to 19/4
=====================
(x - 8) / 5 = 2/4
cross multiply
4(x - 8) = 2 * 5
4x - 32 = 10
4x = 10 + 32
4x = 42
x = 42/4 which reduces to 21/2
===================
sorry but I am not exactly sure how to " explain " my answers