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Alex stocks up for winter. He buys 24 cans of vegetables. He pays 80 cents per can for tomatoes and 40 cents per can for corn, for a total cost of $12.8. How many cans of corn does he buy?

Verified Answer :

Aliwohaish12

Let x be the number of cans of corn Alex buys.
Let y be the number of cans of tomatoes Alex buys.

Establish the equations:

Equation 1: x+y=24
Equation 2: 0.40x+0.80y=12.8

Isolate y in equation 1:
y = 24-x

Substitute y= 24-x into equation 2:
0.40x+0.80(24-x)=12.8
0.40x+19.2-0.80x=12.8
-0.40x = -6.4
x=16

Therefore, Alex buys 16 cans of corn.

Answer:

I just took the test the equation below is correct.

The answer is 16.

Step-by-step explanation:


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