Marcus is selling lemonade and peanuts. Each cup of lemonade is $0.75 and peanuts is $0.35. He sold 5 more cups of lemonade than bags of peanuts. He earned $7.05. How many cups of lemonade he solf?

Marcus sold 8 cups of lemonade

Step-by-step explanation:

we are going to make 2 equations, one that indicates the relationship of lemonades with peanuts and another for the price

x = amount of lemonade

y = amount ofpeanut

x = y + 5

x * 0.75 + y * 0.35 = 7.05

we replace the x with (y + 5) in the second equation

x * 0.75 + y * 0.35 = 7.05

(y + 5) * 0.75 + y * 0.35 = 7.05

now we solve by clearing y

(y + 5) * 0.75 + y * 0.35 = 7.05

0.75y + 3.75 + 0.35y = 7.05

0.75y + 0.35y = 7.05 - 3.75

1.10y = 3.30

y = 3.30/1.10

y = 3

we replace the y in the first equation and get x

x = y + 5

x = 3 + 5

x = 8