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The cost to maintain a certain type of garden is $10 per 15 square fe

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Bunuel
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The cost to maintain a certain type of garden is $10 per 15 square fe [#permalink] New post   15 Oct 2020, 11:15
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The cost to maintain a certain type of garden is $10 per 15 square feet for one month. Grace has a garden of this type that measures 2 feet by 30 feet, and Ashley has a garden of this type that measures 40 feet by 6 feet. How much more does Ashley pay than Grace each year to maintain her garden?

A. 120

B. 180

C. 360

D. 720

E. 1440
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Re: The cost to maintain a certain type of garden is $10 per 15 square fe [#permalink] New post   15 Oct 2020, 14:05
Bunuel wrote:
The cost to maintain a certain type of garden is $10 per 15 square feet for one month. Grace has a garden of this type that measures 2 feet by 30 feet, and Ashley has a garden of this type that measures 40 feet by 6 feet. How much more does Ashley pay than Grace each year to maintain her garden?

A. 120

B. 180

C. 360

D. 720

E. 1440


Find the area of each garden and then their costs.

Grace:
→ Area = 2 × 30 = 60 sq ft
→ Cost = 60/15 × $10 = $40 per month

Ashley:
→ Area = 40 × 6 = 240 sq ft
→ Cost = 240/15 × $10 = $160 per month

Therefore, the difference is $120 per month. Over one year, the difference is 12 × $120 = $1440.
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Re: The cost to maintain a certain type of garden is $10 per 15 square fe [#permalink] New post   15 Oct 2020, 20:37
The cost to maintain a certain type of garden is $10 per 15 square feet for one month. Grace has a garden of this type that measures 2 feet by 30 feet, and Ashley has a garden of this type that measures 40 feet by 6 feet. How much more does Ashley pay than Grace each year to maintain her garden?

A. 120

B. 180

C. 360

D. 720

E. 1440

Explanation:

Excess area of Ashley's garden than area of Grace's garden=(60*4)-(30*2)=180 sq. feet

Now ,Monthly cost to maintain a certain type of garden=$10/(15 feet) i.e $2/(3 feet) per month

So ,Monthly cost to maintain Excess area of Ashley's garden than area of Grace's garden=180*2/3 =120$/month

thus yearly cost=120*12=$1440

Hence E is the correct answer.
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Re: The cost to maintain a certain type of garden is $10 per 15 square fe [#permalink] New post   22 Oct 2020, 10:36
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Bunuel wrote:
The cost to maintain a certain type of garden is $10 per 15 square feet for one month. Grace has a garden of this type that measures 2 feet by 30 feet, and Ashley has a garden of this type that measures 40 feet by 6 feet. How much more does Ashley pay than Grace each year to maintain her garden?

A. 120

B. 180

C. 360

D. 720

E. 1440


Solution:

The cost of maintaining the garden per month is 10/15 = 2/3 of a dollar per square foot. Since Ashely’s garden is 40 x 6 - 2 x 30 = 240 - 60 = 180 square feet larger than Grace’s, she has to pay 180 x 2/3 = $120 more a month, or 120 x 12 = $1440 more a year to maintain her garden than Grace.

Answer: E
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Re: The cost to maintain a certain type of garden is $10 per 15 square fe [#permalink]
22 Oct 2020, 10:36
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