1. One week Carlos bought 3 bags of Tabitha Tidbits and 4 bags of Figaro Flakes for $43.00. The next week he bought 3 bags of Tabitha Tidbits and 6 bags of Figaro Flakes for $54.00. Based on this information, figure out the price of one bag of each type of cat food. Explain your reasoning.

Tabitha Tidbits costs $7 per bag, and Figaro Flakes is $5.50 per bag.

You need to set up a system of equations. Use "x" for Tabitha Tidbits and "y" for Figaro Flakes, and let the total cost of each trip equal c. Using the equation ax+by=c, substitute the cost of each trip in for c, and the number of bags for each food for a and b respectively. The two equations will be:

3x+4y=43

3x+6y=54

Isolate x in the first equation and you will get:

x = (43-4y) / 3

Substitute the above equation for x into the other equation:

3 * ((43-4y) / 3) + 6y=54

Isolate y in this equation, and you will get 11/2, which is 5.5

So the cost of one bag of Figaro Flakes is $5.50

Now substitute this into the equation where you isolated x:

(43-4 (5.5)) / 3

You will get x=7, so a bag of Tabitha Tidbits is $7