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lana [24]
2 years ago
11

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
Mathematics
2 answers:
lesya692 [45]2 years ago
6 0

Answer:

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

Option (D) is correct .

Step-by-step 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 = \frac{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 .

Leni [432]2 years ago
5 0
4:7
4+7=11
121 / 11 = 11
11*4=44
11*7=77

Answer = D, 44 feet and 77 feet
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