Question

A 100-inch ribbon is to be cut into three pieces. Find the length of each piece of ribbon. The length of the shortest piece of ribbon is _____ inches. Please put step by step. I’m having trouble with these and if you have a short cut teach me your ways lol

Answer 1

Answer: Longest piece= 52 inches, Shortest piece= 22 inches and the third piece is 26 inches

Explanation:

Let the longest piece be A

Let the shortest piece be B

let the third piece be C

The longest piece is to be 30inches longer than the short

A=B+30

and the third piece is to be half the length of the longest piece

C=(B+30)/2

Rmbr,

A+B+C=100 Inches

from

A+B+C=100 substitute A for B+30 and C for (B+30)/2

we have,

(B+30)+B+(B+30)/ 2=100

2B+30+(B+30)/2=100

multiply through by 2

we have,

4B+60+B+30=200

5B=200-90

B=110/5

B=22

To get A

from A=B+30

A=22+30

A=52

To get C

from C=(B+30)/2

C=(22+30)/2

C=52/2

C=26

Rmbr,

Let the longest piece be A

Let the shortest piece be B

let the third piece be C

therefore, A=52 B=22 C=26