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one morning she sells 10 pretzels and 5 lemonades and makes a total of $40.00. In afternoon she sells 25 pretzels and 2 lemonades and made $115 dollars. How much is each?

 May 28, 2018
 #1
avatar+4083 
+2

one morning she sells 10 pretzels and 5 lemonades and makes a total of $40.00. In afternoon she sells 25 pretzels and 2 lemonades and made $115 dollars. How much is each?

We have the equations, 10p+5d=$40.00, and 25p+2d=$115

Finding the LCM of 5d and 2d, we get 10:

So, 20p+10d=80.00, 125p+10d=575

Subtarcting, we have: 105p=495

Therefore, p=495/105=4.714\(\approx4.71\)

d=$1.43

Yay! Solved it!

 

 

smileysmiley

 May 28, 2018
edited by tertre  May 28, 2018
 #2
avatar+974 
+1

Hey Guest!

 

We can set up the system of equations if we assign the cost of each item a variable:

 

Cost of pretzel is \(x\)

Cost of lemonade is \(y\)

 

\(10x-5y=40\Rightarrow50x-25y=200\rightarrow(1)\\ 25x-2y=115\Rightarrow50x-4y=230\rightarrow(2)\\\)

 

\((2)-(1)\\ 21y=30\\ y\approx1.43\\ x\approx4.71\)

 

Therefore the cost of lemonade is $4.71 and the cost of the preztels is $1.43

 

I hope this helped,

 

Gavin

 May 28, 2018

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