Question

Alex Stocks Up For Winter. He Buys 36 Cans Of Vegetables. He Pays 80 Cents Per Can For Tomatoes And 40 Cents Per Can For Corn, For A Total Cost Of 20.80 How Many Cans Of Tomatoes Does He Buy .

Answer 1

@ChmE

Answer 2

ok so we know there is a total of 36 cans

Answer 3

This consists of t number of tomato and c number of corn cans

Answer 4

Using this our first equation is
t + c = 36

Answer 5

Are you with me so far?

Answer 6

Yeaa

Answer 7

He pays 80 cents per tomato can so 0.80t, and 40 cents per corn so, 0.40c. And this equals a total of $20.80. So our second equation is
0.80t + 0.40c = 20.80

Answer 8

Do you see that?

Answer 9

now we have two equations for 2 unknowns and we can solve

Answer 10

The question is only asking us for how many tomatoes, t.

Answer 11

so we need to get one equation only in one variable, t. Your thoughts on how to do that??

Answer 12

0.80t=20.80

Answer 13

be careful... we can't just make c disappear. We need to enter a value in for c that will help us get the equation only in terms of t. Hint: solve the t + c = 36 for c. We can use this to help solve.

Answer 14

What do you get if you solve the number of cans equation for c??

Answer 15

t=36-c

Answer 16

we need to solve it for c. which means c will be the variable by itself. Try again.

Answer 17

we want c = something

Answer 18

t=c

Answer 19

t + c = 36
-t + t + c = 36 - t
c = 36 - t

Answer 20

do you see that?

Answer 21

Yes

Answer 22

Now we know what c is. This helps us because we can substitute it into the other equation to get it only in terms of t. This is called the substitution method.
0.80t + 0.40(36 - t) = 20.80

Answer 23

Do you understand this step??

Answer 24

Yes

Answer 25

distribute the 0.40 inside the () and tell me what you get

Answer 26

So It Looks Like 0.80+(0.40+36-t)=20.80

Answer 27

0.40(36 - t) is the same as 0.40 * (36 + -t). To do this we need to distribute the 0.40 to each term inside the ( ). This looks like this 0.40*36 + 0.40*-t

Answer 28

Now type out the new equation

Answer 29

Thanks For All The Help But I Have To Go Now ,

Answer 30

ok. at this point we have only t so you can solve

Answer 31

Good luck

Answer 32

THANKS

Answer 33

I got 16 as my answer. now you can check it against ur own