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Last week, Tessa wrote the last 15% of her paper, while her friend, Denise, finished the final 3 pages of her 8-page paper. Who wrote a greater percentage of her paper last week?

User Cabhishek
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1 Answer

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Final answer:

Denise wrote a greater percentage of her paper last week compared to Tessa.

Step-by-step explanation:

Last week, Tessa wrote the last 15% of her paper, while Denise finished the final 3 pages of her 8-page paper. To compare the percentages, we need to find out how many pages Tessa's paper has. Let's assume the total number of pages in Tessa's paper is P:

Tessa wrote 15% of P pages.

Denise wrote 3 pages out of 8 pages, which is equivalent to 3/8 of her paper.

To determine who wrote a greater percentage, we need to compare 15% of P with 3/8.

Solving the equation 15% of P = 3/8, we can find the value of P.

By cross-multiplying, we have 15P = 3 * 8.

Dividing both sides of the equation by 15, we get P = 3 * 8 / 15.

Calculating this, P = 24 / 15 = 8 / 5 = 1.6.

Since the number of pages cannot be a decimal, we round it up to the nearest whole number, making P = 2.

Therefore, Tessa wrote 15% of 2 pages, which is 0.15*2 = 0.3 pages.

Denise wrote 3 pages, which is greater than 0.3 pages that Tessa wrote. Therefore, Denise wrote a greater percentage of her paper last week.

User Minny
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