Question

7. what is the value of X in the proportion
`(6x+1)/(7)`=
`(18x-2)/(14)`

8. john, alana, and jesus are sharing a bag of candy in the extended ratio 2:3:4. if there are 63 candies in the bag, then how many will alana get?

9. which of the following are equivalent to the ratio (2x-6) : (6x-4) ?

Answer 1

Explanation:

7. Cross multiply

14( 6x +1) = 7( 18x - 2)

Open the brackets

84x +14 = 126x - 14

Subract 84x from both sides

14 = 42x - 14

Add 14 to both sides

28 = 42x

Divide both sides by 42

X = 28/42

Write in simplest form

X=2/3

8. Add all the ratio 2+3+4= 9

Alana is ratio 3

3/9 x 63 candy = 21 candy

9. 3ab : 27ab

Divide both sides by 3, you have 1ab: 9ab

Divide both sides by ab, you have 1: 9