Question

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

Answer 1

The values of the table of costs in the explanation

Explanation:

Let

x ---->the cost of one metre of polyester fabric

y ----> the cost of one metre of cotton fabric

we know that

The ratio of the cost of one metre of polyester fabric to the cost of one metre of cotton fabric is

`(x)/(y)=(2)/(7)`

Complete the table

Part 1) For 2 metres of fabric

To find out the costs multiply the ratio by the fraction 2/2

so

`((2)/(2))(2)/(7)=(4)/(14)`

therefore

`x=\£4\\y=\£14`

Part 2) For 6 metres of fabric

To find out the costs multiply the ratio by the fraction 6/6

so

`((6)/(6))(2)/(7)=(12)/(42)`

therefore

`x=\£12\\y=\£42`

Part 3) For 8 metres of fabric

To find out the costs multiply the ratio by the fraction 8/8

so

`((8)/(8))(2)/(7)=(16)/(56)`

therefore

`x=\£16\\y=\£56`

Part 4) For 9 metres of fabric

To find out the costs multiply the ratio by the fraction 9/9

so

`((9)/(9))(2)/(7)=(18)/(63)`

therefore

`x=\£18\\y=\£63`