Question

Clara visits the aquarium while on vacation.The aquarium is 2 1/2 miles from her hotel. She wals 1/4 mile to the bus stop,takes the bus for 1 2/4 miles and walks the rest of the way to the aquarium

Answer 1

She walked 1/2 or 0.5 miles.

Answer 2

Answer:

When she left the bus, she walked $\frac{3}{4}$ miles to the aquarium.

Step-by-step explanation:

The question is incomplete. ''When she left the bus,how much did she walk to the aquarium ?'' is the missing question.

We know that the aquarium is $(2)\frac{1}{2}$ miles from her hotel.

We also know that she walked $\frac{1}{4}$ mile to the bus stop and took the bus for $(1)\frac{2}{4}$ miles

In order to find the miles that she walked after the bus we can write the following equation :

$\frac{1}{4}+(1)\frac{2}{4}+x=(2)\frac{1}{2}$ (I)

Where ''x'' represents the miles that she walked.

In order to solve this equation we can do the following replacement.

We can replace the numbers by fractions with a number 4 in its denominators (To realize operations properly).

For example :

$1(\frac{2}{4})=1+\frac{2}{4}=(\frac{4}{4})+(\frac{2}{4})=\frac{6}{4}$ (II)

$(2)\frac{1}{2}=2+(\frac{1}{2})=\frac{8}{4}+\frac{2}{4}=\frac{10}{4}$ (III)

Replacing (II) and (III) in (I) :

$\frac{1}{4}+\frac{6}{4}+x=\frac{10}{4}$

$x=\frac{10}{4}-\frac{1}{4}-\frac{6}{4}=\frac{3}{4}$

$x=\frac{3}{4}$ miles

We find that Clara walked $\frac{3}{4}$ miles when she left the bus.