**Equation 1**

**Equation 2**

**T = 13**

**C**= 32 - 13 =

**19**

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

Tutors, sign in to answer this question.

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

CHECK RESULT:

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

Does $7.60 + $10.40 = $18.00?

YES!!!

Let number of corn cans = x and number of tomatoe cans be y

x + y = 32

0.80y + 0.40x = 18

Eliminate y

y = 32 - x

substitute in second equation

0.8(32 - x) + 0.4x = 18

19 + y =

25.6 - 0.8x + 0.4x = 18

-0.4x = - 7.6

x = 19 = cans of corn

substitute x = 19 in first equation

19 + y = 32

y=13 = cans of tomatoes

:)

Hi Alyssa;

TOTAL COST...$18.00

COST PER CAN OF TOMATO...$0.80

COST PER CAN OF CORN...$0.40

TOTAL QUANTITY OF CANS...32

x=quantity of cans of tomatoes

32-x=quantity of cans of corn

18.00=[(0.80)(x)]+[(0.40)(32-x)]

18.00=0.80x+12.80-0.40x

18.00=0.40x+12.80

Let's subtract 12.80 from both sides...

5.2=0.40x

Let's check our work...

18.00=[(0.80)(x)]+[(0.40)(32-x)]

18.00=[(0.80)(13)]+[(0.40)(19)]

18.00=10.40+7.60

18.00=18.00

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.

Paul K.

Experienced, Understandable and Memorable Math Tutor

$7.50 per 15 min

View Profile >

Nathaniel E.

Algebra1 Tutor Delivering Online Classes

$8.75 per 15 min

View Profile >

Brad M.

STEM Specialist plus Business, Accounting, Investment & Editing

$10 per 15 min

View Profile >