SOLUTION: Shop A has 8 times as many electricians as Shop B, and Shop C has 3 times as many as Shop B. Shop A has how many times as many electricians as Shop C?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Shop A has 8 times as many electricians as Shop B, and Shop C has 3 times as many as Shop B. Shop A has how many times as many electricians as Shop C?      Log On


   

Question 1133350: Shop A has 8 times as many electricians as Shop B, and Shop C has 3 times as many as Shop B. Shop A has how many times as many electricians as Shop C?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
A = 8 * B
C = 3 * B

solve for B in C = 3 * B to get B = C / 3

replace B with C / 3 in A = 8 * B to get A = 8 * C / 3

simplify to get A = 8 / 3 * C

shop A has 8/3 times as many electricians as shop C.

for example, let shop B = 5 electricians.

shop C has 3 * 5 = 15 electricians.

shop A has 8 * 5 = 40 electricians.

ratio of A to B is 40 / 5 = 8

ratio of A to C is 40 / 15 = 8 / 3

solution looks good.