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 130 cm shorter than C.
Give the answers in cm.
- How much shorter is B than A?
- What is the total length of A and C?
(a)
Choose the shortest length to be 1 u.
Length of B = 1 u
Length of C = 1 u + 130
Length of A = 4 x (1 u + 130) = 4 u + 520
Total length of A, C and B
= 4 u + 520 + 1 u + 130 + 1 u
= 4 u + 1 u + 1 u + 520 + 130
= 6 u + 650
6 u + 650 = 4400
6 u = 4400 - 650
6 u = 3750
1 u = 3750 ÷ 6 = 625
Length of B shorter than A
= 4 u + 520 - 1 u
= 4 u - 1 u + 520
= 3 u + 520
= 3 x 625 + 520
= 1875 + 520
= 2395 cm
(b)
Total length of A and C = 4 u + 520 + 1 u + 130
= 4 u + 1 u + 520 + 130
= 5 x 625 + 650 = 3125 + 650 = 3775 cm Answer(s): (a) 2395 cm; (b) 3775 cm