Alimited edition soccer ball costs $65. a pro nsl soccer ball costs $15. a sportd store sells 70 soccer balls and collects a total of $2400. how many of each type of soccer ball did they sell? shoe work.

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=2,400equation 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=2,400equation 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