Roxanne has 1/2 as many beads as Sherie. The number of beads Sherie has is 4/5 that of Marcos. Marcos has 165 beads. how many more beads does Marcos have than Roxanne?

Answer 1

R = .5 S
S = .8 M
M = 165

R = .5(.8M) = .4 M = .4 * 165 = 66
165 - 66 = ???

Answer 2

It also can do like this:

R = Roxanne´s beads

S = Sherie´s beads

M= Marcos has 165 beads.

Marcos has 165 beads means:

M = 165

Sherie has is 4 / 5 that of Marcos means:

S = 4 M / 5

Roxanne has 1 / 2 as many beads as Sherie means:

R = S / 2 = ( 4 M / 5 ) / 2 = 4 M / 5 * 2 = 4 M / 10

Sifference beetven Marcos has 165 beads and Roxanne´s beads:

d = M - R = M - 4 M / 10 = 10 M / 10 - 4 M / 10 = 6 M / 10 =

2 * 3 * M / 2 * 5 = 3 M / 5 = 3 * 165 / 5 = 495 / 5 = 99

Marcos have 99 more beads than Roxanne.

OR

M = 165

S = 4 M / 5 = 4 * 165 / 5 = 660 / 5 = 132

R = S / 2 = 132 / 2 = 66

M - R = 165 - 66 = 99