Help with word problem

Question

Need it in an equation:

 

Marcus is selling lemonade and peanuts. Each cup of lemonade
costs $0.75, and each bag of peanuts costs $0.35. On Saturday,
Marcus sold 5 more cups of lemonade than bags of peanuts. He
earned $7.05. How many cups of lemonade did Marcus sell on
Saturday?

Answer 1

Let's use some variables:

L=total # lemonade

p=total # peanuts

 

Let's make an equation for "sold 5 more cups of lemonade than bags of peanuts" or in other words the number of peanuts is 5 less than lemonades -> p=L-5

 

For "earned $7.05" means that the money made from peanuts (0.35p) and lemonades (0.75L) -> 0.35p+0.75L=7.05

 

Since we can only solve for one variable at a time, let's substitute 5+L for p since p=5+L

 0.35p+0.75L=7.05

 0.35(L-5)+0.75L=7.05

Distributing give you                0.35L -1.75+0.75L=7.05

Combine like terms                   1.1L-1.75=7.05

Add 1.75 from both sides                +1.75 +1.75

                                                        1.1L=8.8

Divide both side by 1.1             1.1L/1.1=8.8/1.1

                                                      L=8