Answer:
Step-by-step explanation:
Alright let's get started!
Here are TWO WAYS to get the answer!
WAY ONE:
Our Information:
- 45 cm piece of wood divided in the ratio of 7 : 2
- 7x and 2x are the lengths
Ok, time to work this out!
Our new equation will now be;
7x + 2x = 45
Collecting the like terms in the left side we get;
9x = 45
Divide by 9 on both sides;
x = [tex]\frac{45}{9}[/tex]
Simplify;
x = 5
Find the values for the 7 : 2 ratio by substituting x;
5 × 7 = 35 cm
5 × 2 = 10 cm
Final Results:
[tex]\frac{35}{10}[/tex] = [tex]\frac{7}{2}[/tex]
↓(Pretend This is a Chart)↓
Piece 1 Piece 2
7 2
14 4
21 6
28 8
35 10 35 + 10 = 45
WAY TWO (this will be more explaining so for show your work I suggest way 1)
Since the ratio is 7 : 2, you can start by thinking of it as 9 pieces.
If you divided the board into 9 equal pieces, they'd each 5 inches long, because 45 divided by 9 = 5.
But since they're in the 7 : 2 ratio, you have (7 x 5) to (2 x 5), or 35 : 10
So one is 35 inches, the other is 10.
In simpler words, it's 7x + 2x = 45. (So 9x = 45, and x = 5. So 7x = 35, and
2x = 10.)
YAY!!! WE SURVIVED!!!
