5. A sporting goods store sells right-handed and left-handed baseball gloves. In one month, 12 gloveswere sold for a total of $561. Right-handed gloves cost $45 each and left-handed gloves cost $52each. How many of each type of glove were sold?

Answer:The number of left-handed gloves sold=3The number of right-handed gloves sold=9Step-by-step explanation:The expression for the total cost of the gloves can be expressed as;Total cost=(Cost per right handed glove×number of right handed gloves sold)+(cost per left handed gloves×number of left handed gloves sold)where;Total cost=$561Cost per right handed glove=$45number of right handed gloves sold=rcost per left handed gloves=$52number of left handed gloves sold=lreplacing;561=(45×r)+(52×l)45 r+52 l=561...equation 1The expression for the total number of the gloves sold can be expressed as;total number of gloves sold=number of right handed gloves sold+number of left handed gloves soldwhere;total number of gloves sold=12number of right handed gloves sold=rnumber of left handed gloves sold=lreplacing;r+l=12...equation 2Combine equation 1 and 2 and solve simultaneously;45 r+52 l=561>>>45 r+52 l=561                              -45(r+l=12)       >>>45 r+45 l=540(45 r-45 r)+(52 l-45 l)=561-5407 l=21l=21/7=3l=3replacing the value of l in equation 2r+3=12r=12-3=9r=9The number of left-handed gloves sold=3The number of right-handed gloves sold=9