Answer:
The amount of thistle bird seed she purchased was 7.5 pounds
Step-by-step explanation:
Let
x ----> the amount in pounds of thistle bird seed she purchased
x ----> the amount in pounds of wild bird seed she purchased
we know that
Kate bought $23.40 worth of two types of bird seed.
so
----> equation A
She bought 12 pounds of wild bird seed
so
![y=12\ pounds](https://tex.z-dn.net/?f=y%3D12%5C%20pounds)
substitute the value of y in the equation A
![1.60x+0.95(12)=23.40](https://tex.z-dn.net/?f=1.60x%2B0.95%2812%29%3D23.40)
solve for x
![1.60x=23.40-11.40\\1.60x=12\\x=7.5\ pounds](https://tex.z-dn.net/?f=1.60x%3D23.40-11.40%5C%5C1.60x%3D12%5C%5Cx%3D7.5%5C%20pounds)
therefore
The amount of thistle bird seed she purchased was 7.5 pounds