Sara brought a total of 8 nails at ace hardware . she purchased both 6 penny nails and 10 penny nails . she brought 2 more 6 penny nails then she did 10 penny nails . she had a total of 8 mails. How many 6 penny and 10 penny nails did sara purchase
x = # of 6-penny-nails
y = # of 10-penny-nails
x + y = 8
x = y + 2
Answer is five 6-penny-nails
and three 10-penny nails.
Well, it seems like Sara really nailed it at Ace Hardware! Let's solve this puzzle step by step.
Let's say Sara purchased x 6 penny nails and y 10 penny nails.
According to the information given, she brought 2 more 6 penny nails than 10 penny nails, so we can write the equation x = y + 2.
We also know that she had a total of 8 nails, so the total number of nails can be represented as x + y = 8.
Now, let's substitute the value of x from the first equation into the second equation: (y + 2) + y = 8.
Simplifying the equation, we get 2y + 2 = 8.
Subtracting 2 from both sides of the equation, we have 2y = 6.
Dividing both sides by 2, we find that y = 3.
So Sara purchased 3 10 penny nails.
Now, substituting this value of y into the first equation, we find x = 3 + 2, which gives us x = 5.
Therefore, Sara purchased 5 6 penny nails.
So, to summarize, Sara bought 5 6 penny nails and 3 10 penny nails. Keep nailing those math problems!
Let's denote the number of 6 penny nails as x and the number of 10 penny nails as y.
According to the information given in the question, Sara brought a total of 8 nails. So we can write the equation:
x + y = 8
It is also mentioned that she bought 2 more 6 penny nails than 10 penny nails. Therefore, we can write another equation:
x = y + 2
Now, we have a system of two equations. We can solve this system using substitution or elimination method.
Let's use the substitution method to solve this system:
We substitute the value of 'x' from the second equation into the first equation:
(y + 2) + y = 8
Combining like terms, we get:
2y + 2 = 8
Subtracting 2 from both sides, we get:
2y = 6
Dividing both sides by 2, we get:
y = 3
Now, we substitute the value of 'y' back into the second equation to find the value of 'x':
x = 3 + 2 = 5
Therefore, Sara purchased 5 nails of 6 penny and 3 nails of 10 penny.
if there are x 6d nails, and y 10d nails, then you have been told that
x+y = 8
x = y+2