Question

PLEASE SHOW WORKING!!!!!!

Answer 1

Answer:

7 : 2

35 cm : 10 cm

Step-by-step explanation:

7 : 2

7 + 2 = 9

45 ÷ 9 = 5

7 : 2

7 × 5 : 2 × 5

35 : 10

Answer 2

Answer:

Step-by-step explanation:

Alright let's get started!

Here are TWO WAYS to get the answer!

WAY ONE:

Our Information:

1. 45 cm piece of wood divided in the ratio of 7 : 2
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 = $\frac{45}{9}$

Simplify;

                                                                   x = 5

Find the values for the 7 : 2 ratio by substituting x;

5 × 7 = 35 cm

5 × 2 = 10 cm

Final Results:

 

                                                                        $\frac{35}{10}$ = $\frac{7}{2}$

↓(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!!!