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# help

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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

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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?

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! May 28, 2018 edited by tertre May 28, 2018 #2 +971 +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