A piece of ribbon 4400 cm long is cut into 3 parts, A, C and B.
A is 4 times as long as C.
B is 220 cm shorter than C.
Give the answers in cm.
- How much longer is A than C?
- What is the total length of A and B?
(a)
Choose the shortest length to be 1 u.
Length of B = 1 u
Length of C = 1 u + 220
Length of A = 4 x (1 u + 220) = 4 u + 880
Total length of A, C and B
= 4 u + 880 + 1 u + 220 + 1 u
= 4 u + 1 u + 1 u + 880 + 220
= 6 u + 1100
6 u + 1100 = 4400
6 u = 4400 - 1100
6 u = 3300
1 u = 3300 ÷ 6 = 550
Length of A longer than C
= 4 u + 880 - (1 u + 220)
= 4 u - 1 u + 880 - 220
= 3 u + 660
= 3 x 550 + 660
= 1650 + 660
= 2310 cm
(b)
Total length of A and B
= 4 u + 880 + 1 u
= 5 u + 880
= 5 x 550 + 880
= 2750 + 880
= 3630 cm
Answer(s): (a) 2310 cm; (b) 3630 cm