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15-12-2021
Mathematics

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cheryl used 40% of her money to buy a dress and 1/5 of the remainder to buy a pair of shoes. She then donated $60 to charity and had $132 left. How much money did Cheryl have at first?

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lilydrach lilydrach

15-12-2021

let x be total amount of money

dress: 40% of x = 0.4x

left: x - 0.4x = 0.6x

shoes: 1/5x 0.6x = 0.12x

left: 0.6x - 0.12x = 0.48x

donate: $60

$132 left over

0.48x - 60 = 132

solve for x:

0.48 - 60 = 132

0.48x = 192

x = $400

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