Selling lemonade word problem

Sasha and Francisco were selling lemonade for 25 cents per half cup and 50 cent per full cup. At the end of the day they had collected 15 dollars and had used 37 cups. How many full cup and how many half cups did they sell?

Solution


Let x be the number of full cup sold


Let y be the number of half cup sold


Whether the cup was full or not, they used 37 cups.


Therefore,


x + y = 37


How much money did they make selling half cup lemonade?


They made y × 0.25


How much money did they make selling full cup lemonade?


They made x × 0.50


Money made selling full cup + money made selling half cup = 15


x × 0.50 + y × 0.25 = 17


You end up with a system of linear equation to solve


x + y = 37


x × 0.50 + y × 0.25 = 17



x + y = 37 equation 1


0.50x + 0.25y = 17 equation 2



Solve for y in equation 1


x + y = 37


x - x + y = 37 - x


y = 37 - x


Replace y in equation 2


0.50x + 0.25 (37 - x) = 17


0.50x + 0.25 × 37 - 0.25x = 17


0.50x + 9.25 - 0.25x = 17


0.25x + 9.25 = 17


0.25x + 9.25 - 9.25 = 17 - 9.25


0.25x = 17 - 9.25


0.25x = 7.75


Divide both sides by 0.25


0.25x/0.25 = 7.75/0.25


x = 31


y = 37 - x = 37 - 31 = 6


Sasha and Francisco sold 31 full cup and 6 halh cup of lemonade.


It seems like people love their lemonade

Click here to post comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Basic math word problem.





Recent Articles

  1. How to estimate fractions

    Dec 11, 17 08:45 AM

    Learn how to estimate fractions with this easy to follow lesson.

    Read More

New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.

            Follow me on Pinterest





Recent Lessons

  1. How to estimate fractions

    Dec 11, 17 08:45 AM

    Learn how to estimate fractions with this easy to follow lesson.

    Read More

  Our Top Pages

Formula for percentage

Compatible numbers

Basic math test

Basic math formulas

Types of angles

Math problem solver

Algebra word problems

Surface area of a cube

Finding the average 

Scale drawings

Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!


Everything you need to prepare for an important exam!

K-12 tests, GED math test, basic math tests, geometry tests, algebra tests. 


Real Life Math Skills

Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.

 Recommended

Scientific Notation Quiz

Types of Angles Quiz

Graphing Slope Quiz

Adding and Subtracting Matrices Quiz  

Factoring Trinomials Quiz 

Solving Absolute Value Equations Quiz  

Order of Operations Quiz