Question

pls help. Asley and amy are seling pies. There are apple and lemon. Ashley sold 12 apple and 10 lemon pies for a total of $174. Amy sold 11 apple and 5 lemon pies for a total of $122. What is the individual cost for the apple and lemon pie? WILL GIVE MEDAL

Answer 1

It's easier than you may think, so don't over-think these kind of problems. They're just word-y.
First, find your equations in the problem.
Ashley: 12A+10L=$174.00
Amy: 11A+5L=$122.00
A=apples L=lemons
Then, with those equations, choose either apples or lemons to find first. Let's find lemons(L) first.
Change Ashley's equation so that L is on its own on one side.
12A+10L=$174.00 --(subtract 12A)--> 10L=12A+174 --(divide by 10)--> L=-1.2A+17.4
You then have L on its own on one side. You can treat it now as a problem where you plug-in L into Amy's equation. That will help you find what A equals.
11A+5L=122.00 --(plug in L)--> 11A+5(-1.2A+17.4)=122.00 --(solve for A)--> A=$7.00 for each apple pie.
You now have the amount for how much an apple pie costs. You can plug that (A) into the equation for L that you had to find earlier: L=-1.2A+17.4 --(plug in A value)--> L=-1.2(7)+17.4 --(L value=)---> L=$9.00
So lemon pies are $9.00 each and apple pies are $7.00 each.
You can check each answer by pluging in the values for L and A into either Amy or Ashley's equation and seeing if it's true.
(I'm sorry if it doesn't help or if MY calculations are incorrect, BUT the process in which you would find the values are correct.)
Hope it helps!! :D