Question

Mr. Stanton bought 121 feet of rope to repair a rope bridge. The ratio of the two pieces that he needs from the length he bought is 4 to 7. If he uses the entire length of rope, how long is each piece?


A   


40 feet and 70 feet
B   
42 feet and 79 feet
C   
43 feet and 78 feet
D   
44 feet and 77 feet

Answer 1

4:7
4+7=11
121 / 11 = 11
11*4=44
11*7=77

Answer = D, 44 feet and 77 feet

Answer 2

The length of the two pieces are 44 feet and 77 feet .

Option (D) is correct .

Explanation:

As given

Mr. Stanton bought 121 feet of rope to repair a rope bridge. The ratio of the two pieces that he needs from the length he bought is 4 to 7.

Let us assume that the x be the scalar multiple of the two pieces .

One piece = 4x

Second piece = 7x

Than the equation becomes

4x + 7x = 121

11 x = 12

`x = (121)/(11)`

x = 11

Thus

One piece = 4 × 11

= 44 feet

Second piece = 7 × 11

= 77 feet

Therefore the length of the two pieces are 44 feet and 77 feet .

Option (D) is correct .