The ratio of the cost of one metre of polyester fabric to the cost of one metre of cotton fabric is 2:7.
Complete the table of costs.
2m 6m 8m 9m
polyester fabric £4
cotton fabric
Complete the costs above
Answers
Given:
The ratio of the cost of one metre of polyester fabric to the cost of one metre of cotton fabric is 2:7.
To find:
Complete the table of costs.
2m 6m 8m 9m
polyester fabric £4
cotton fabric
Solution:
the cost of one metre of polyester fabric to the cost of one metre of cotton fabric is 2:7.
⇒ 1 m polyester / 1 m cotton = 2 / 7
∴ 1 m cotton = 7/2 × 1 m polyester
From given, we have,
for 2 m of polyester fabric, the cost is £ 4
⇒ for 1 m of polyester fabric, the cost is £ 4/2 = £ 2
⇒ for 1 m of cotton fabric = 7/2 × 1 m polyester fabric = 7/2 × £2 = £ 7
for 1 m of cotton fabric, the cost is £ 7
For 2m,
polyester fabric 2 × £2 = £ 4
cotton fabric 2 × £7 = £ 14
For 6m,
polyester fabric 6 × £2 = £ 12
cotton fabric 6 × £7 = £ 42
For 8m,
polyester fabric 8 × £2 = £ 16
cotton fabric 8 × £7 = £ 56
For 9m,
polyester fabric 9 × £2 = £ 18
cotton fabric 9 × £7 = £ 63
The complete table is,
2m 6m 8m 9m
polyester fabric £ 4 £ 12 £ 16 £ 18
cotton fabric £ 14 £ 42 £ 56 £ 63