Answered

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The cost of cloth is directly proportional to the length. A 3.2-metre length of cloth costs $38

Work out the cost of a 2.4-metre length of cloth.

Sagot :

MrRoyal

Answer:

[tex]x = \$28.5[/tex]

Step-by-step explanation:

Given

Variation: Direct Proportion

[tex]3.2m = \$38[/tex]

Required

Determine the cost of 2.4m length

Represent the cost of 2.4m length with x

So, we have:

[tex]3.2m = \$38[/tex]

and

[tex]2.4m = x[/tex]

Cross Multiply:

[tex]3.2m * x = \$38 * 2.4m[/tex]

[tex]3.2 * x = \$38 * 2.4[/tex]

Solve for x

[tex]x = \frac{\$38 * 2.4}{3.2}[/tex]

[tex]x = \frac{\$91.2}{3.2}[/tex]

[tex]x = \$28.5[/tex]

Hence, the cost of 2.4m length is $28.5

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