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Holly gets some money for her birthday. She buys a pair of jeans, some shoes and a new coat. She spends 20% of her money on some jeans. The coat costs her $21 more than the shoes. The shoes cost $32. She is left with 3/8 of the money that she started with. How much did the jeans cost?

 Apr 17, 2022
 #1
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Let M be the money she received

 

She spends    .20M   =  (1/5)M  on jeans

Cost  of shoes  =32

Cost of coat = 32 + 21  =  53

 

So

 

M    - (1/5)M  -  32  -53   =  (3/8)M

 

(4/5)M   -  85  =  (3/8)M

 

(4/5)M  - (3/8)M   = 85

 

[ 32 - 15 ] / 40  *  M  = 85

 

[17 /  40] M  = 85

 

M =  85   [  40 / 17  ]   =    $200

 

The jeans cost   (200)(1/5)   = $40

 

cool cool cool

 Apr 17, 2022

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