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?

Guest May 28, 2018

#1**+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!

tertre May 28, 2018

#2**+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

GYanggg May 28, 2018