Question

A store sells two sizes of fresh wreaths. an? 18-inch wreath costs ?$1515?, and a? 22-inch wreath costs ?$3535. in one? day, the number of? 22-inch wreaths sold was fourfour more than twicetwice the number of? 18-inch wreaths, for a total of ?$820820. how many of each were? sold

Answer 1

x = 18 inch wreath, y = 22 inch wreath

15x + 35y = 820
y = 2x + 4

15x + 35(2x + 4) = 820
15x + 70x + 140 = 820
15x + 70x = 820 - 140
85x = 680
x = 680/85
x = 8 <== 8 eighteen inch wreaths were sold

y = 2x + 4
y = 2(8) + 4
y = 16 + 4
y = 20 <== 20 twenty-two inch wreaths were sold