3 1/2 = 3 + 1 / 2 = 6 / 2 + 1 / 2 = 7 / 2
6 1/2 = 6 + 1 / 2 = 12 / 2 + 1 / 2 = 13 / 2
x = number
3 / 4 x + 3 1/2 = 6 1/2 - 2 / 3 x
3 / 4 x + 7 / 2 = 13 / 2 - 2 / 3 x
Subtract 7 / 2 To both sides.
3 / 4 x = 6 / 2 - 2 / 3 x
3 / 4 x = 3 - 2 / 3 x
Add 2 / 3 x to both sides.
3 / 4 x + 2 / 3 x = 3
3 x / 4 + 2 x / 3 = 3
3 ∙ 3 x / 3 ∙ 4 + 4 ∙ 2 x / 4 ∙ 3 = 3
9 x / 12 + 8 x / 12 = 3
17 x / 12 = 3
Multiply both sides by 12.
17 x = 36
x = 36 / 17
36 / 17 = 34 / 17 + 2 / 17 = 2 + 2 / 17 = 2 2/17
Find the number such that when 3/4 of it is added to 3 1/2 the sum is the same as when 2/3 of it is subtracted from 6 1/2
1 answer