Question

Solve

8/a = 21/42
105/168 = r/8
could you please tell me what steps you used to find the answer to? thanks!

Answer 1

these are proportions and can be solved by cross multiplying and solving for the variable.

8/a = 21/42
cross multiply
(21)(a) = (8)(42)
21a = 336...divide both sides by 21
a = 336/21
a = 16
also, u will notice that : 8/16 is equivalent to 21/42...because proportions are nothing but equivalent fractions.

105/168 = r/8
cross multiply
(168)(r) = (105)(8)
168r = 840...divide both sides by 168
r = 840/168
r = 5

Answer 2

(a)=16

First you do 42*8. Then 42*8=336. Divide 336 by 21 to find (a) which equals 16.

(r)=5

First you do 105*8. Then 105*8= 840. Divide 840 by 168 to find (r) which equals 5.