Question

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 57.05. How many cups of lemonade did Marcus sell on
Saturday?

Answer 1

8 cups of lemonade

Explanation:

Let us assume x be the number of bags of peanuts.

And, y be the number of cups of lemonade.

Now the equations are

0.35x + 0.75y= $7.05

And,

y = x+5

Now solve it by substitution method.

0.35x + 0.75(x+5) = 7.05

0.35x + 0.75x + 3.75 = 7.05

1.1x = 7.05 - 3.75

1.1x = 3.3

x = 3.3 ÷ 1.1

= 3

Now for

y = x+5

= 3+5

= 8