27. COFFEE SHOP Jade wants to stop for coffee on her way to school. The distance
from Jade's house to the coffee shop is 3 miles more than twice the distance from
the coffee shop to Jade's school. The total distance from Jade's house to her
school is 5 times the distance from the coffee shop to her school.
a. What is the distance from Jade's house to the coffee shop? Write your answer
as a decimal, if necessary.
b. What assumptions did you make when solving this problem?

Respuesta :

Answer:

Step-by-step explanation:

House_______________ Coffee shop _______ school

                           ^                                          ^

                    3+2a                                         a                                                                        

Total distance=5a

House to shop- 5a=3+2a+a

                               =3+3a

                           2a=3

                             a=3/2

therefore substitute into initial equation for house to shop

=6 units

b) That there are no roadworks? Sorry had to wrap this up late

The total distance from Jade's house to the coffee shop is 6 miles.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let the distance between the coffee shop and school be d.

Given that the distance from Jade's house to the coffee shop is 3 miles more than twice the distance from the coffee shop to Jade's school.

Distance from Jade's house to the coffee shop = 3 miles +2d

The total distance from Jade's house to her school is 5 times the distance from the coffee shop to her school.

So, the total distance from Jade's house to school = 5×d

The total distance = house to coffee shop + coffee shop to the school

⇒ 5d = 3 + 2d + d

⇒ 5d = 3 +3d

⇒ 2d = 3

⇒ d = 3/2

⇒ d = 1.5 miles

Therefore, house to coffee shop = 3 + 2×1.5 = 6 miles

Hence, the total distance from Jade's house to the coffee shop is 6 miles.

Learn more about the equation here:

brainly.com/question/10413253

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