Posted by **Katherine** on Monday, March 7, 2011 at 4:47pm.

In a department store, there were a certain number of red T-shirts, blue T-shirts, and yellow T-shirts. 3/7 of the T-shirts were red, 1/3 of them were blue and the rest were yellow. If there were 20 more red T-shirts than blue T-shirts, how many yellow T-shirts were there?

- math !!!! :O -
**MathMate**, Monday, March 7, 2011 at 9:20pm
Let the number of T-shirts be

R, B, Y

R=(3/7)(R+B+Y)...(1)

B=(1/3)(R+B+Y)...(2)

Y=(1-3/7-1/3)(R+B+Y)...(3)

=(5/21)(R+B+Y)

R-B=20 ...(4)

Start with the last equation (4):

(3/7-1/3)(R+B+Y)=20

2/21(R+B+Y)=20

Solve for (R+B+Y), I get 210.

Substitute (R+B+Y)=210 into (1), (2) and (3) to get the number of t-shirts of each colour.

## Answer this Question

## Related Questions

math - in a department store, there were a certain number of red t-shirts, blue ...

math - In a department store, there were a certain number of red T-shirts, blue...

math - in a department sore there are red t-shirts, blue t-shirts, and yellow t-...

math - Sam has 5 red shirts 2 pink shirts and 3 yellow shirts. If she closed her...

math - The soccer team ordered 140 T-shirts to sell at the school fair.Oh those ...

algebra - the student store sells schools supplies,hats,and t-shirts with NAMS ...

math - jessica has 24 shirts .1/6 are red.1/3 are yellow.4/12 are green. the ...

math - Elizabeth has a box of shirts. one half of the shirts are small, 2/5 of ...

math - Elizabeth has a box of shirts. One half of the shirts are small, 2/5 of ...

math - beth has a box of shirts.one half of the shirts are small,2/5 of the ...