Find shaded region of given figure​

doted is shaded region.

In a box 1/4 of the beads are red, 3/5 of the remainder are yellow, and the rest are blue. If there are 48 blue beads, how many beads are there altogether?

In a box 1/4 of the beads are red, 3/5 of the remainder are yellow, and the rest are blue. If there are 48 blue beads, how many beads are there altogether?

Fractions

Jan 21 | Ka from Beverly Hills, CA

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Andrew M. | Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors

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t = r + y + 48

r = t/4

y = (3/5)(t - r)

= (3/5)(t - t/4)

= (3/5)(3t/4)

= 9t/20

t = t/4 + 9t/20 + 48

Multiply through by 20 to clear fractions

20t = 5t + 9t + 960

6t = 960

t = 160 beads in total

check:

r = t/4 = 40 red beads

y = 9t/20 = 72 yellow beads

b = 48 blue beads

40 + 72 + 48 = 160 beads

same theory use it here

thanx

hey