help me please I am struggling!!!!

Question

the sweater shop sells sweaters in three colors: red, $25;blue, $28; and white, $20. On thursday, they sold 25 sweaters. they sold seven more blue sweaters than red sweaters. if they sold $589 in sweaters, how many white sweaters did they sell?

Answer 1

I'll be THIRD in agreement and will take one for the team

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THey sold W white sweaters and R red sweaters...

So then they sold b=R+7 blue sweaters

the total number of sweaters sold was

25 = R+w+b = R+w+(r+7) = 2r + w + 7

18 = 2r + w

So then 18-2r = w is the 1st equation

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the sales were

589 = 25r + 20w + 28b

= 25r + 20w + 28(r+7)

= 25r + 20w + 28r + 196

= 53r + 20w + 196

so then 393 = 53r + 20w is the 2nd equation

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393 = 53r + 20(18-2r)

393 = 53r + 360 - 40r

393 = 13r + 360

33 = 13r

33/13 = r

then w = 18 - 2r = 18 - 2(33/13)

= 18 - 66/13

= (234-66)/13

= 168/13

and b = r+7 = 33/13 + 7 = 33/13+ 7/1

= (33+91)/13

= 124/13

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CHECK:

r + w + b = 33/13 + 168/13 + 124/13

= 325/13

= 25, so the first equation checks

and

25r + 20w + 28 b =

25(33/13) + 20(168/13) + 28(124/13) =

(825+3360 + 3472)/13 =

7657/13 =

589

so the 2nd equation checks

therefore, these answers are CORRECT!!!

They sold R=33/13 = 2 + 7/13 red sweaters

W = 168/13 = 12 + 12/13 white sweaters

B = 124/13 = 9 + 7/13 blue sweaters

So Ms. Camille R, please REPOST