Answer:
The number of left-handed gloves sold=3
The number of right-handed gloves sold=9
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=$561
Cost per right handed glove=$45
number of right handed gloves sold=r
cost per left handed gloves=$52
number of left handed gloves sold=l
replacing;
561=(45×r)+(52×l)
45 r+52 l=561...equation 1
The 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 sold
where;
total number of gloves sold=12
number of right handed gloves sold=r
number of left handed gloves sold=l
replacing;
r+l=12...equation 2
Combine 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)=561-540
7 l=21
l=21/7=3
l=3
replacing the value of l in equation 2
r+3=12
r=12-3=9
r=9
The number of left-handed gloves sold=3
The number of right-handed gloves sold=9