Hazelnut 8229

There are cherry, hazelnut, and milk candies in a 60-piece candy box. There are 2 times nuttier than cherry and 20 times more milky than nutty. How many candies of each type are in the box?

Correct answer:

m =  36
o =  16
v =  8

Step-by-step explanation:


v+o+m=60
o=2v
m=20+o

v+o+m=60
o=2·v
m=20+o

m+o+v = 60
o-2v = 0
m-o = 20

Row 3 - Row 1 → Row 3
m+o+v = 60
o-2v = 0
-2o-v = -40

Pivot: Row 2 ↔ Row 3
m+o+v = 60
-2o-v = -40
o-2v = 0

Row 3 - 1/-2 · Row 2 → Row 3
m+o+v = 60
-2o-v = -40
-2.5v = -20


v = -20/-2.5 = 8
o = -40+v/-2 = -40+8/-2 = 16
m = 60-o-v = 60-16-8 = 36

m = 36
o = 16
v = 8

Our linear equations calculator calculates it.

Try another example


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 are looking for its solution? Or do you have a quadratic equation?

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

algebraGrade of the word problem

Related math problems and questions: