Alex Stocks up for the winter. He buys 32 cans of Vegetables. He buys 80 cents per can for tomatoes and 40 cents per can of corn, for a total cost of $18.0

If C is the number of cans of corn and T is the number of cans of tomatoes

C + T = 32

**Equation 1**We also know that

($0.40)C + ($0.80)T = $18.00

**Equation 2**We can replace the C in Equation 2 with (32 - T), or the T in Equation 2 with (32 - C).

($0.40)C + ($0.80)T = $18.00 = ($0.40)(32 - T) + ($0.80)T = $18.00

We now have a solvable equation for T:

$12.80 - ($0.40)T + ($0.80)T = $18.00

T($0.80 - $0.40) = $18.00 - $12.80 = $5.20

($0.40)T = $5.20

**T = 13**

**C**= 32 - 13 =

**19**

CHECK RESULT:

Does ($0.40)(19) + ($0.80)(13) = $18.00?

Does $7.60 + $10.40 = $18.00?

YES!!!