Answer:
Number of limited edition balls sold=37
Number of professional balls sold=43
Step-by-step explanation:
Two expressions can be derived;
Equation 1
Total sells=(Cost per limited edition ball×number of limited edition balls sold)+(Cost per professional ball×number of professional balls sold)
where;
Cost per limited edition ball=$65
Number of limited edition balls sold=x
Cost per professional ball=$15
Number of professional balls sold=y
Total sales=$2400
replacing;
2,400=(65×x)+(15×y)
65x+15y=2,400.....equation 1
Equation 2
Total number of balls sold=Number of limited edition balls sold+Number of professional balls sold
where;
Number of limited edition balls sold=x
Number of professional balls sold=y
Total number of balls sold=70
replacing;
70=(x)+(y).....equation 2
solving for x and y
65x+15y=2,400.....equation 1
15(x+y=70).....equation 2
subtract equation 2 from equation 1
(65x-15x)+(15y-15y)=2,400-(15×70)
50x=1,350
x=1,350/50
x=27
replacing the value of x in equation 2;
27+y=70
y=70-27
y=43
Number of limited edition balls sold=x=37
Number of professional balls sold=y=43
