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Loft insulation reduces annual heating costs by 20%. After he insulated his loft, curtleys annual heating cost was £520. Work out curtleys annual heating cost would have been, if he had not insulated his loft.

Respuesta :

520 x 0.2 = 104
520 + 104 = 625
Curtley's annual heating cost before he got his loft insulated was $624.00

Answer:

$650

Step-by-step explanation:

Let x represent curtleys original annual heating cost.

We have been given that Loft insulation reduces annual heating costs by 20%.

So the cost after 20% reduction would be 80% of original cost that is [tex]\frac{80}{100}x=0.80x[/tex].

We have been given that after he insulated his loft, curtleys annual heating cost was £520. We can represent this information in an equation as:

[tex]0.80x= \$520[/tex]

[tex]\frac{0.80x}{0.80}= \frac{\$520}{0.80}[/tex]

[tex]x=\$650}[/tex]

Therefore, Curtley's annual heat costing would have been $650, if he had not insulated his loft.