SOLUTION: A teenager went shopping . She spent 2/7of her money on clothes and 2/3 of the remaining amount she spent on shoes. Afterwards she spent 1/4 of her money on food and found she ha

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Question 376169: A teenager went shopping . She spent 2/7of her money on clothes and 2/3 of the remaining amount she spent on shoes. Afterwards she spent 1/4 of her money on food and found she had $24 left for cab fare how much money did she have to began with
need to show the work.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = amount of money she has at the start. Then
2x%2F7+%2B+%282%2F3%29%2A%285x%2F7%29+ = 16x%2F21 = amount she spent on clothes and shoes.
Hence, 5x%2F21 remains. She spent 1/4 of this on food: hence 3/4 of this remains and is equal to $24. %283%2F4%29%2A%285x%2F21%29+=+15x%2F84. Thus 15x%2F84+=+24. Then x = $134.40