SOLUTION: Hi a box contained 480 beads of 3 colors. When 18 yellow beads were added,33 orange beads were taken out and the number of black beads doubled, there were then an equal number of

Question 1101086: Hi
a box contained 480 beads of 3 colors. When 18 yellow beads were added,33 orange beads were
taken out and the number of black beads doubled, there were then an equal number of beads of
Each color.
how many beads of each colour were there at first.
Thanks
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
Answer:

Yellow: 168
Orange: 219
Black: 93

�
Check: 168 + 219 + 93 = 480
and: 168+18 = 186
219-33 = 186
2(93) = 186

�
The workout starts from
480 = (Y - 18) + (O + 33) + (1/2)B (where each letter = FINAL number of beads of that color)
465 = Y + O + B (*)
and noting Y=O=B at this point, which gives Y = O = B = 186 (**)
�
Now to find the ORIGINAL number of each color bead, (using lower case y,o,b), just reverse the manipulations given in the problem statement:
y = Y-18 = 186-18 = 168
o = O+33 = 186+33 = 219
b = (1/2)B = 186/2 = 93
��
EDIT: Dear student, I see why you are wondering how I got to Y=O=B=186. The equation (* above)
should have been written:
480 = (Y-18) + (O+33) + (1/2)B
465 = Y + O + (1/2)B
and the three quantities that are equal are Y = O = B so
465 = Y + Y + (1/2)Y = (5/2)Y �> Y=186
and that means Y = O = B = 186.
Sorry, I had that step proper on paper but typed it wrong.

RELATED QUESTIONS
Hi there were a total of 522 blue , red and green beads in a box. After 66 blue beads... (answered by greenestamps)

The ratio of the number of red beads to blue beads in a box was 3:1. 3 more red and 4... (answered by vleith)

The ratio of the number of beads in box A to the number of beads in box B is 3:5. The... (answered by josgarithmetic)

A box contained some red and green beads . 40% of beads were red. The red beads were... (answered by ikleyn)

Hi Sally had some red and blue beads . 40 percent of her beads were red. When she lost... (answered by greenestamps)

Hi angie had some red and blue beads.40percent of her beads were red. When she lost 50... (answered by josmiceli)

Natalie, Rachel and Winnie were given a box of beads. Natalie took 5/9 of the beads and... (answered by ikleyn,Pussy Licker,54929)

A box contains 5 blue beads, 4 yellow beads and 3 purple bead. Three beads are taken... (answered by Edwin McCravy)

Hi The ratio of black beads to white beads is 1 to 5. After 2 more than twice the number (answered by josgarithmetic)