Answer:
Total books sold=146 books
Total magazines sold=114 magazines
Explanation:
Equation 1
Total weekly profit=(Profit for each magazine sold×Number of magazines sold)+(Profit for each book sold×Number of books sold)
where;
Total weekly profit=$450
Profit from each magazine sold=$0.75
Number of magazines sold=y
profit from each book sold=$2.50
Number of books sold=x
Replacing;
450=(0.75×y)+(2.5×x)
0.75y+2.5x=450..... Equation 1
Equation 2
Total number of publications sold=Total number of books sold+Total number of magazines sold
where;
Total number of publications sold=260
Total number of books sold=x
Total number of magazines sold=y
x+y=260... Equation 2
Combine equation 1 and 2 and solve;
1(2.5x+0.75y=450)>>>>>>>>2.5x+0.75y=450
2.5(x+y=260) >>>>>>>>2.5x+2.5y=650
Subtract equation 1 from 2
(2.5x-2.5x)+(2.5y-0.75y)=(650-450)
1.75y=200
y=200/1.75
y=114
Replacing the value for y in equation 2
x+114=260
x=260-114=146
Total books sold=146 books
Total magazines sold=114 magazines