MathDB
AMC 8 #20

Source: AMC 8

November 25, 2015
AMC 8

Problem Statement

Ralph went to the store and bought 12 pairs of socks for a total of \24.Someofthesocksheboughtcost$1apair,someofthesocksheboughtcost$3apair,andsomeofthesocksheboughtcost$4apair.Ifheboughtatleastonepairofeachtype,howmanypairsof$1socksdidRalphbuy?</br>24. Some of the socks he bought cost \$1 a pair, some of the socks he bought cost \$3 a pair, and some of the socks he bought cost \$4 a pair. If he bought at least one pair of each type, how many pairs of \$1 socks did Ralph buy?</br> (A) 4 \qquad (B) 5 \qquad (C) 6 \qquad (D) 7 \qquad (E) 8 $