## Namrata has a ribbon of length 103half m. which she wants to cut into 3 pieces. she gave one piece each to chetna and jisha. Find

Question

Namrata has a ribbon of length 103half m. which she wants to cut into 3 pieces. she gave one piece each to chetna and jisha. Find the length of the ribbon she gave to each of them. ​

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10 months 2021-07-07T15:50:25+00:00 2 Answers 0 views 0

There are 3 pieces of ribbon. Two of the piece and half the 3rd piece laid end to end make one metre. What is the length of a piece?

Let’s tackle the question as asked.

We have three pieces of ribbon. Let’s call their lengths a, b and c.

We know that a + b + c/2 = 1.

We can also assume that the lengths are positive, since other values would not represent real world solutions.

If we had more information about a, b and c we could possibly solve the problem using simultaneous equations. As it is, there is a range of solutions. The range of possible solutions can be drawn in Cartesian co-ordinates in three dimensions as those points on the surface of the plane that intersects the a, b and c axes at 1, 1 and 2 respectively, where a, b and c are all positive. Equivalently, as points on the surface of the triangle whose vertices are (1,0,0), (0,1,0) and (0,0,2), excluding points along the edges (which would indicate zero length for one of the ribbons).

Now I think it might be implied (but it isn’t stated) that the ribbons are of equal length. In this case, a, b and c are equal and our equation reduces to 2.5*a = 1, in which case a = 0.4 metres (40 centimetres).

Let us asume that all the three pieces of ribbon are of same size and lenhth of one piece of ribbon is a

then as per inspection a+a+a/2 =1 metre

or, (2a+2a+a)/2=1

or 5a/2=1 or, 5a=2 , or a =2/5

length of

one piece is 2/5 metre =÷2/5)×100 cm=40 cm

Step-by-step explanation:

hope it helps u