Stan bought 3 boxes of fruit loops and 2 boxes of kix for $15.05. One box of fruit loops cost $0.60 more than one box of kix. How much does one box of each type of cereal cost
3 f + 2 k = 15.05
f = k + .6
3(k+.6) + 2 k = 15.05
5 k + 1.8 = 15.05
k = 2.65 for kix
f = k+.6 = 3.25
Let's assume the cost of one box of Kix is x dollars. According to the given information, one box of Fruit Loops costs $0.60 more than one box of Kix, so we can say the cost of one box of Fruit Loops is (x + $0.60).
Now, let's calculate the total cost of 2 boxes of Kix and 3 boxes of Fruit Loops.
Total cost of Kix = 2 * x
Total cost of Fruit Loops = 3 * (x + $0.60)
The sum of the total costs of Kix and Fruit Loops is $15.05. So, we can set up the equation:
2x + 3(x + $0.60) = $15.05
Simplifying the equation:
2x + 3x + $1.80 = $15.05
5x + $1.80 = $15.05
Subtracting $1.80 from both sides:
5x = $15.05 - $1.80
5x = $13.25
Dividing both sides by 5:
x = $13.25 / 5
x ≈ $2.65
So, one box of Kix costs approximately $2.65.
To find the cost of one box of Fruit Loops, we can substitute the value of x into the equation:
Cost of one box of Fruit Loops = x + $0.60
= $2.65 + $0.60
≈ $3.25
Therefore, one box of Kix costs approximately $2.65 and one box of Fruit Loops costs approximately $3.25.