Bottles

Mrs. Violet brewed 15 l of raspberry juice. She poured it into 17 bottles. Some were 3/4 liter and someone liter. How many bottles were of these two types?

Correct answer:

a =  8
b =  9

Step-by-step explanation:


a+b = 17
3/4 a + 1b = 15

a+b = 17
3/4·a + 1·b = 15

a+b = 17
3a+4b = 60

Pivot: Row 1 ↔ Row 2
3a+4b = 60
a+b = 17

Row 2 - 1/3 · Row 1 → Row 2
3a+4b = 60
-0.33b = -3


b = -3/-0.33333333 = 9
a = 60-4b/3 = 60-4 · 9/3 = 8

a = 8
b = 9

Our linear equations calculator calculates it.



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?
Tip: Our volume units converter will help you convert volume units.

You need to know the following knowledge to solve this word math problem:

Related math problems and questions: