Question

Charmi cut a ribbon into 19 pieces . 7 of them are 11 cm each and the rest are 8 cm each .

What was the length of the ribbon at first ?

a) 173 cm b) 183 cm c) 193 cm d) 165 cm ​

Answer 1

✬ Length = 173 cm ✬

Explanation:

Given:

• Total pieces of ribbon is 19.
• 7 pieces are of 11 cm.
• Rest (12) pieces are of 8 cm.

To Find:

• What was original the length of ribbon ?

Solution: Let original length of ribbon was x cm. Therefore,

➟ Length of ribbons of 11 cm = No. of pieces(11)

$\implies{\rm }$ Total length = 7(11)

$\implies{\rm }$ 77 cm....(1)

➼ Length of ribbons of 8 cm = No. of pieces(8)

$\implies{\rm }$ Total length = 12(8)

$\implies{\rm }$ 96 cm.....(2)

A/q

• Original ribbon = Equation 1 + Equation 2

$\implies{\rm }$ x = Sum of length of ribbons (11 cm and 8 cm)

$\implies{\rm }$ x = 77 + 96

$\implies{\rm }$ x = 173 cm

Hence, original length of ribbon at first was 173 cm. (Option a is correct)

Answer 2

GIVEN :

• Total picies of Ribbon cut by Charmi = 19 pieces.

• Number of Ribbon which are of 11 cm = 7 Pieces of Ribbon

• Number of Ribbon which are of 8 cm = rest of them

Therefore, for rest of them we'll have to find

ㅤㅤㅤㅤㅤㅤㅤ➠ Total - 7

ㅤㅤㅤㅤㅤㅤㅤ➠ 19 - 7 = 12

ㅤㅤㅤㅤㅤㅤㅤ➠ 12

Hence, Number of Ribbon which are of 8 cm = 12 pieces of Ribbon

TO FIND :

• The length of the Ribbon at first = ?

STEP -BY-STEP EXPLAINATION :

Here, Let us consider the Length of ribbon at first = x

➠ Now, here we will have to find length of ribbon of 11 cm and for finding length of Ribbon of 11 cm will have to follow the following steps :

ㅤㅤㅤ⟹ 11 × Number of Ribbon of 11 cm

Substituting the values as per the given formula :

ㅤㅤㅤ⟹ 11 × 7

ㅤㅤㅤ⟹ 77

Hence, we got here the value = 77 cm

➠ Now, here we will have to find the Ribbon of 8 cm and for finding length of ribbon of 8 cm will have to follow the following steps :

ㅤㅤㅤ⟹ 8 × Number of a Ribbon of 8 cm

Substituting the values as per be given formula :

ㅤㅤㅤ⟹ 8 × 12

ㅤㅤㅤ⟹ 96

Hence, we got here the value = 96 cm

Since, here we will have to find the the length of the Ribbon at first = ?

Considering here, the value of Ribbon at first = x

⟹ x = (Value) length of Ribbon of 11 cm + (Value) length of Ribbon of 8 cm

Substituting the values as per the given formula :

ㅤㅤㅤㅤㅤㅤㅤ➠ x = 77 + 96 cm

ㅤㅤㅤㅤㅤㅤㅤ➠ x = 173 cm

Now, we got here the value of length of Ribbon at first = (a) 173 cm