QuestionLanden spent $L$ hours at the beach. Matéo spent 15% fewer hours. Which expressions represent Matéo's hours? Choose 2: A) $L-\frac{1}{15} L$ , B) $L(1-0.15)$ , C) $0.15 L$ , D) $L-\frac{15}{100}$ , E) $L-\frac{3}{20} L$ .

Studdy Solution

STEP 1

Assumptions1. Landen spent $$ hours at the beach last weekend. . Matéo spent15% fewer hours at the beach than Landen did.

STEP 2

To find out how many hours Matéo spent at the beach, we need to subtract15% of the hours Landen spent from the total hours Landen spent. This can be represented as $Hours\, Matéo\, spent = L -15\% \times L$

STEP 3

Convert the percentage to a decimal value.
$15\% =0.15$ $Hours\, Matéo\, spent = L -0.15$

STEP 4

We can also express this in a more compact form by factoring out $$.
$Hours\, Matéo\, spent = L(1 -0.15)$

STEP 5

Therefore, the expressions that could represent how many hours Matéo spent at the beach last weekend are $-0.15$ and $(1 -0.15)$ Comparing these with the given options, we find that the correct answers areB $(1-0.15)$ and $-\frac{3}{20} L$
Note $\frac{3}{20}$ is equivalent to $0.15$ .

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