Answer: 4. ?=18
5. x = 6
Explanation:
First put the length in ratio form:
4. 54:? and 24:8 ==> 54:?=24:8
Now put the ratios in division form:
54/? = 24/8
54/? = 3 ==> simplify
? * 54/? = 3*? ==> multiply by ? on both sides to remove denominator
54 = 3?
54/3 = 3?/3 ==> divide by 3 on each sides to solve for ?
?=18 ==> simplify
5. (6x-1):14 and 15:6
(6x-1)/14 = 15/6
14*(6x-1)/14 = 14 * 15/6 ==> multiply by 14 on both sides to isolate x
6x-1 = 210/6
6x-1 = 35 ==> simplify
6x-1+1 = 35+1 ==> add 1 on both sides to isolate x
6x = 36
6x/6 = 36/6 ==> divide by 6 on both sides to isolate x
x = 6 ==> simplify