
x = ounces of seeds
y = ounces of dried fruit
x + y = 10 ← he needs 10 ounces, total
1.5x + 2.5y = 22 ← cost per ounce times number of ounces equals total cost
x + y = 10 ← first equation
x = y + 10 ← subtracted y from each side of first equation
1.5x + 2.5y = 22 ← second equation
1.5(y + 10) + 2.5y = 22 ← substituted (y + 10) in for x
1.5y + 15 + 2.5y = 22 ← substitution method
y + 15 = 22 ← combined like terms
y = 7 ← subtracted 15
x + y = 10 ← first equation
x + 7 = 10 ← substituted 7, in for y, into top equation
x = 3 ← subtracted 7
3 ounces of seeds
7 ounces of dried fruit
 Proof
