Substitute in the second equation and solve forx.
50 xþ 75 ð 40 xÞ¼ 2325
50 xþ 3000 75 x¼ 2325
25 xþ 3000 ¼ 2325
25 xþ 3000 3000 ¼ 2325 3000
25 x¼ 675
251 x
251
¼
675
25
x¼ 27
Findy:
xþy¼ 40
27 þy¼ 40
27 27 þy¼ 40 27
y¼ 13
Hence he sold 27 bags of $0.50 candy and 13 bags of $0.75 candy.
LESSON 18 Using Two Equations 225