Answer:
50 hammers and 20 wrenches.
Step-by-step explanation:
Let x represent number of hammers and y represent number of ranchers.
We have been given that a store sold 70 hammers and ranchers. We can represent this information in an equation as:
![x+y=70...(1)](https://tex.z-dn.net/?f=x%2By%3D70...%281%29)
We are also told that each hammer sold for $10 and each rancher sold for five dollars resulting a total of 600.00. We can represent this information in an equation as:
![10x+5y=600...(2)](https://tex.z-dn.net/?f=10x%2B5y%3D600...%282%29)
From equation (1), we will get:
![x=70-y](https://tex.z-dn.net/?f=x%3D70-y)
Substituting this value in equation (2), we will get:
![700-10y+5y=600](https://tex.z-dn.net/?f=700-10y%2B5y%3D600)
![700-5y=600](https://tex.z-dn.net/?f=700-5y%3D600)
![700-700-5y=600-700](https://tex.z-dn.net/?f=700-700-5y%3D600-700)
![-5y=-100](https://tex.z-dn.net/?f=-5y%3D-100)
![\frac{-5y}{-5}=\frac{-100}{-5}](https://tex.z-dn.net/?f=%5Cfrac%7B-5y%7D%7B-5%7D%3D%5Cfrac%7B-100%7D%7B-5%7D)
![y=20](https://tex.z-dn.net/?f=y%3D20)
Therefore, 20 wrenches were sold.
Now, we will substitute
in equation (1) as:
![x+20=70](https://tex.z-dn.net/?f=x%2B20%3D70)
![x+20-20=70-20](https://tex.z-dn.net/?f=x%2B20-20%3D70-20)
![x=50](https://tex.z-dn.net/?f=x%3D50)
Therefore, 50 hammers were sold.