Respuesta :
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:
[tex]x+y=70...(1)[/tex]
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:
[tex]10x+5y=600...(2)[/tex]
From equation (1), we will get:
[tex]x=70-y[/tex]
Substituting this value in equation (2), we will get:
[tex]700-10y+5y=600[/tex]
[tex]700-5y=600[/tex]
[tex]700-700-5y=600-700[/tex]
[tex]-5y=-100[/tex]
[tex]\frac{-5y}{-5}=\frac{-100}{-5}[/tex]
[tex]y=20[/tex]
Therefore, 20 wrenches were sold.
Now, we will substitute [tex]y=20[/tex] in equation (1) as:
[tex]x+20=70[/tex]
[tex]x+20-20=70-20[/tex]
[tex]x=50[/tex]
Therefore, 50 hammers were sold.
