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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. Note: All vouchers were redeemed. How many people redeemed the haircut voucher?

1. 300
2. 160
3. 290
4. 280

Correct answer: 290

Solution

Let pedicure vouchers be p and haircut vouchers be h. Then h+p=450 and h=p+130, giving p=160 and h=290. Since all vouchers were redeemed, 290 people redeemed haircut vouchers.

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