Posted by **Dell** on Thursday, December 1, 2011 at 11:29am.

Marnie collects red, blue and purple buttons. At the beginning of the year she has 360 buttons in a box. The ratio of red buttons to blue buttons is 4:3 and there are twice as many red buttons as purple buttons.

a.What is the ratio of blue buttons to purple buttons at the beginning of the year?

b.After Marnie adds another 200 buttons –some red and some blue – at the end of the year, the number of red buttons increased by 75% and the number of blue buttons increased by two-thirds.

i.What is the new ratio of red buttons to blue buttons?

ii.Express the number of purple buttons as a fraction of the new total number of buttons.

iii.Express the number of blue buttons as a percentage of the number of red buttons. (Round to one decimal place).

- math -
**Steve**, Thursday, December 1, 2011 at 12:38pm
so, we have red:blue:purple = 4:3:2

4+3+2=9, so there are 360/9 buttone for each proportion:

160 red

120 blue

80 purple

b:p = 3:2

after new buttons, we have

red: 160 (1.75) = 280

blue: 120(5/3) = 200

purple: 80

r:b = 280:200 = 7:5

p/all = 80/560 = 1/7

b/r = 200/280 = 5/7 = 71.4%

- math -
**Anonymous**, Monday, December 5, 2011 at 10:33am
I'm confused on where you got the 1.75 and the 5/3????

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