SOLUTION: Six apples and 1 pear cost $2.00. At the same store, 3 apples and 6 pears cost $2.10 Find the cost of one apple and the cost of one pear. Equation & answer please. Thank You s

Question 873917: Six apples and 1 pear cost $2.00. At the same store, 3 apples and 6 pears cost $2.10 Find the cost of one apple and the cost of one pear.
Equation & answer please.
Thank You so much
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If "Six apples and 1 pear cost $2.00", then where 'a' is the cost for a single apple and p is the cost for a single pear.

If "3 apples and 6 pears cost $2.10", then

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The two equations you'll use are

Solve for p in to get

Then plug this into the second equation to get

Solving that equation for 'a' will give you the cost for a single apple. Once you know the value of 'a', plug it into to find the value of p (the cost for a single pear)
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