Question

3. A wire of length 90 cm is cut into three pieces. The lengths of the pieces are in the ratio 3:5:7. Calculate the length of (a) the longest piece. (b) the difference between the longest and the shortest piece. 3:5:1 Wire length: 90 cm​

Answer 1

the difference between the longest and the shortest piece

Answer 2

Explanation:

First, simplify into the parts given by sum of ratio values.

90cm / 15 = 6 cm

(a) longest piece

= 7 x 6 = 42 cm

(b) difference between longest and shortest

shortest = 3 x 6 = 18 cm

Difference = 42 - 18 = 24 cm