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

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