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:


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

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