1. SYSTEMS of EQUATIONS
WORD PROBLEMS

2. A farmer grows only pumpkins and corn on her 420-acre farm
A farmer grows only pumpkins and corn on her 420-acre farm. This year she wants to plant 250 more acres of corn than pumpkins. How many acres of each crop should the farmer plant?
Let x = pumpkins
Let y = corn
Group acres with acres and crops with crops

3. x + y = 420 The number of acres for pumpkins and the acres for corn
x = y There are 250 more acres of corn than there are pumpkins
x+ x = substitute x for y in the first equation
2x = Combine like terms
2x = Subtract 250 from both sides
x = There are 85 acres of pumpkins
420 – There are 335 acres of corn

4. A perfume maker has stocks of two perfumes on hand
A perfume maker has stocks of two perfumes on hand. Perfume A sells for $15 per ounce. Perfume B sells for $35 per ounce. How much of each should be combined to make a 3-oz bottle of perfume that can be sold for $63.

5. A + B = 3 Ounces of each bottle of perfume
$15A + $35B = $ The prices of each bottle to make the
new bottle
A = 3 – B Isolate one of the values
15(3-B) + 35B = Substitute the value of A for A
45 – 15B + 35B = Distribute the 15
B = Combine like terms
20B = Subtract 45 from both sides
B = Divide both sides by 20
A + .9 = Substitute .9 for B
A = Subtract .9 from both sides
Final Answer of Perfume A
.9 of Perfume B

6. YOUR TURN