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-1/15L

L(1−0.15)

0.15L

L-15/100

L-3/20L
plz help quick

Answer 1

L(1-0.15)

L-(15/100)L

Explanation:

we know that

100%-15%=85%

85%=85/100=0.85

so

The number of hours that Mateo spent at the beach last week is equal to the hours that landen spent at the beach (L) multiplied by 0.85

The linear equation that represent this situation is

0.85L

Equivalent expressions are

1) L(1-0.15)

Because

Applying distributive property

L(1-0.15)=L-0.15L

Combine like terms

L-0.15L=0.85L

2) L-(15/100)L

because

15/100=0.15

substitute

L-(15/100)L=L-(0.15)L=0.85L