Division

Three siblings, Helena, Oliver, and George, split the bag with candies on merit in the ratio 6:1:4. How many candies should each get if in the bag were 88?

Correct answer:

x =  48
y =  8
z =  32

Step-by-step explanation:

6a+1a+4a=88 a=88/(6+1+4)=8 x=6a=48
y=1a=8
z=4a=32

6 a + 1 a + 4 a = 88; x= 6 a; y= 1 a ; z= 4 a

6·a + 1·a + 4·a = 88
x= 6·a
y= 1·a
z= 4·a

11a = 88
6a-x = 0
a-y = 0
4a-z = 0

Row 2 - 6/11 · Row 1 → Row 2
11a = 88
-x = -48
a-y = 0
4a-z = 0

Row 3 - 1/11 · Row 1 → Row 3
11a = 88
-x = -48
-y = -8
4a-z = 0

Row 4 - 4/11 · Row 1 → Row 4
11a = 88
-x = -48
-y = -8
-z = -32


z = -32/-1 = 32
y = -8/-1 = 8
x = -48/-1 = 48
a = 88/11 = 8

a = 8
x = 48
y = 8
z = 32

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
Check out our ratio calculator.
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:

algebrabasic operations and conceptsGrade of the word problem

Related math problems and questions: