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A salon distributed 450 vouchers for free haircuts and pedicures. The number of haircut vouchers was 130 more than the number of pedicure vouchers. The ratio of males to females who received pedicure vouchers is 13:7. The number of haircut vouchers redeemed by males was 15 more than the number of pedicure vouchers redeemed by males. All vouchers were redeemed. How many males redeemed the pedicure voucher?

1. 91
2. 104
3. 117
4. 130

Correct answer: 104

Solution

Let pedicure vouchers be x and haircut vouchers be x+130. Since total vouchers are 450, x+(x+130)=450, so x=160 and haircut vouchers=290. For pedicure vouchers, male:female = 13:7, so males = 13/20 of 160 = 104.

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