Question

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The cost of installing insulation in a particular two-bedroom is $2400. Present monthly heating costs average $300, but the insulation is expected to reduce heating costs by 10%. How many months will it take to recover the cost of the insulation?


___________ months

Answer 1

80 months

Explanation:

The expected monthly savings from the insulation are: $300 × 10% = $30.

So, the number of months required to recover the cost of the insulation, $2400, is $2400/$30 = 80 months.

Answer 2

80 months

Explanation:

If the present monthly heating costs average $300, but the insulation is expected to reduce heating costs by 10%, then there will be a monthly saving of 10%:

`\implies \rm Monthly\;saving=10\%\;of\;\$300 =(10)/(100) * \$300=\$30`

To calculate how many months it will take to recover the cost of the insulation, divide the cost of installing the insulation by the monthly saving:

`\implies \rm Number\;of\;months=(\$2400)/(\$30)=80`

Therefore, it will take 80 months to recover the cost of the insulation.