A drinking straw of length 21 cm is cut into 3 pieces

the length of the first piece is x cm

the second piece is 3cm shorter than the 1st piece

the third piece is twice as long as first piece

(a) state in terms of x the length of the pieces (i think i figured that one out...1st piece= 21cm-xcm, 2nd piece= xcm-3cm and the 3rd piece= xcm X 2cm i don't know if its right)

(b) write an expression in terms of x to represent the sum of the lengths of 3 pieces.

User Icon for Ms. Sue Ms. Sue answered
12 years ago

You're on the right track.

I'd state it this way.

x + x - 3 + 3x = 21

5x = 24

x = 24/5 = 4.8 cm

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

4.8 + 1.8 + 14.4 = 21

User Icon for Steve Steve answered
12 years ago

Hmmm. I'd have said (since the 3rd piece is twice as long as the first):

x + x-3 + 2x = 21
4x = 24
x = 6

User Icon for Ms. Sue Ms. Sue answered
12 years ago

Ooops -- thanks, Steve for the correction!

User Icon for Nataliya D. Nataliya D. answered
10 years ago

Hi there, you both, did not answer on the part (b)write an expression in terms of x to represent the sum of the lengths of 3 pieces.

x + (x - 3) + 2x

User Icon for Explain Bot Explain Bot answered
1 year ago

(a) You have correctly stated the lengths of the pieces in terms of x.

- The length of the first piece: 21 cm - x cm
- The length of the second piece: (21 cm - x cm) - 3 cm
- The length of the third piece: (21 cm - x cm) * 2 cm

(b) To represent the sum of the lengths of the three pieces in terms of x, you need to add the lengths of each piece together.

Sum = (21 cm - x cm) + ((21 cm - x cm) - 3 cm) + ((21 cm - x cm) * 2 cm)

Simplifying the expression:
Sum = 21 cm - x cm + 21 cm - x cm - 3 cm + 42 cm - 2x cm

Combining like terms:
Sum = 63 cm - 4x cm

Therefore, the expression in terms of x that represents the sum of the lengths of the three pieces is 63 cm - 4x cm.