Landen spent L hours at the beach last weekend. Matéo spent 15% fewer hours at the beach than Landen did. Which of the following expressions could represent how many hours Matéo spent at the beach last weekend? Choose 2 answers: L-(1)/(15)L B L(1-0.15) c 0.15L D L-(15)/(100) E L-(3)/(20)L

Question

Landen spent  L hours at the beach last weekend. Matéo spent  15% fewer hours at the beach than Landen did. Which of the following expressions could represent how many hours Matéo spent at the beach last weekend? Choose 2 answers:  L-(1)/(15)L B  L(1-0.15) c  0.15L D  L-(15)/(100) E  L-(3)/(20)L

Bytelearn · Accepted Answer

Understand the problem: Understand the problem. We need to find an expression that represents 15% fewer hours than L, where L is the number of hours Landen spent at the beach.Convert to decimal: Convert the percentage to a decimal. 15% as a decimal is 0.15.Calculate 15% fewer hours: Calculate the expression for 15% fewer hours. To find 15% fewer of L, we subtract 15% of L from L. This can be written as L - 0.15L.Simplify the expression: Simplify the expression from Step 3. L - 0.15L can be simplified by factoring out L, which gives us L(1 - 0.15).Convert to fraction: Convert the percentage to a fraction. 15% can also be expressed as the fraction 15/100, which simplifies to 3/20.Calculate using fraction: Calculate the expression for 15% fewer hours using the fraction. Another way to express 15% fewer of L is L - (15/100)L, which simplifies to L - (3/20)L.Check given options: Check the given options against our calculations. Option B, L(1-0.15), matches our expression from Step 4. Option E, L-(3/20)L, matches our expression from Step 6.Eliminate incorrect options: Eliminate incorrect options. Option A, L-(1/15)L, does not represent 15% fewer hours. Option C, 0.15L, represents 15% of L, not 15% fewer. Option D, L-(15/100), is missing the L in the second term to correctly represent 15% fewer hours.

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