SOLUTION: belle and cally shared some buttons in the ratio 3:7. cally gave some buttons to belle such that they had an equal number of buttons in the end. if cally gave belle 16 buttons, how

Question 818563: belle and cally shared some buttons in the ratio 3:7. cally gave some buttons to belle such that they had an equal number of buttons in the end. if cally gave belle 16 buttons, how many buttons did belle have at the start?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
belle and cally shared some buttons in the ratio 3:7.
cally gave some buttons to belle such that they had an equal number of buttons in the end.
if cally gave belle 16 buttons, how many buttons did belle have at the start?
:
Let x = "the multiplier"
then
3x = b's original number of buttons
and
7x = c's buttons
:
7x - 16 = 3x + 16
7x - 3x = 16 + 16
4x = 32
x = 32/4
x = 8 is the multiplier, therefore
8(3) = 24 buttons for b
and
8(7) = 56 buttons for c

RELATED QUESTIONS
Adam has some brown and green buttons in a box. If he were to remove some brown buttons,... (answered by greenestamps,ankor@dixie-net.com)

in a bag there are 11 red buttons,4 green buttons ,1 blue buttons and some yellow buttons (answered by solver91311)

There are some green, red and blue buttons in a box. 1/2 of the buttons are green and 1/3 (answered by Edwin McCravy,htmentor)

Hi Mandy and jack had some sweets in the ratio of 5:7.after mandy gave jack some sweets... (answered by ankor@dixie-net.com)

There are 30 buttons in a box 12 of the buttons are black The rest of the buttons are... (answered by lynnlo)

Emily and Julia shared some candy in the ratio 7:4 . When Julia gave 87 pieces of candy... (answered by richwmiller)

Grandma is sewing a shirt, and she needs to sew on three buttons of the same color. She... (answered by Theo)

a) Find the smallest sum of 2 perfect squares that end with the digit 9. b) Yellow... (answered by robertb)

Hi Alex had $57 less than Belle. Alex saved 3/5 of his money while Belle spent 2/3 of... (answered by MathLover1,greenestamps)