you buy six bags of wild bird food to fill the feeders in your yard. oyster shell grit, a natural calcium source, sells for $4.00 a bag, and sunflower seeds sell for $4.45 a bag. if you spend $25.80, how many bags of each type of feed are you doing?
thanks.
solve
4.45x + 4(6-x) = 25.80
To solve this problem, we need to set up a system of equations based on the given information. Let's assume x represents the number of bags of oyster shell grit and y represents the number of bags of sunflower seeds.
We have two equations:
1) The total number of bags: x + y = 6
2) The total cost: 4x + 4.45y = 25.80
Now, let's solve the equations simultaneously:
From equation 1, we can rewrite it as x = 6 - y.
Substituting this in equation 2, we have:
4(6 - y) + 4.45y = 25.80
Simplifying the equation:
24 - 4y + 4.45y = 25.80
0.45y = 1.80
y = 1.80 / 0.45
y = 4
Plugging this value back into equation 1:
x = 6 - y
x = 6 - 4
x = 2
Therefore, you are buying 2 bags of oyster shell grit and 4 bags of sunflower seeds.