a grocery, a cafe, a boutique, and a dance studio have the addresses 500 elm, 524 elm, 538 elm, and 544 elm, but not necessarily in that order. the boutique is between the cafe and the studio. the studio has the highest address. the grocery is between the cafe and boutique. what is the address of the boutique?

Boutique can only be 538 elm. Why? Studio is definitely 544 elm. Now boutique is between two buildings, so it have to be either 524 elm or 538 elm. Grocery is between boutique and cafe. Grocery cannot be 538 elm or 500 elm. 1. 538 elm, the grocery is between studio and the other building. 2. not 500 elm because it is between two buildings. So it have to be 524 elm.
∵ Boutique is 538 elm.

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jbiain jbiain · Answer 2 · 2019-11-06T14:46:43+01:00

Answer:

The address of the boutique is 538 elm

Step-by-step explanation:

We have to order the four buildings in the next table

500 | 524 | 538 | 544

X | X | X | X

Knowing that the studio has the highest address, then

500 | 524 | 538 | 544

X | X | X | dance studio

Knowing that the boutique is between the cafe and the studio , the options are

500 | 524 | 538 | 544

cafe | boutique | X | dance studio

500 | 524 | 538 | 544

X | cafe | boutique | dance studio

500 | 524 | 538 | 544

cafe | X | boutique | dance studio

Knowing that the grocery is between the cafe and boutique, only the last option can be chosen. Then,

500 | 524 | 538 | 544

cafe | grocery | boutique | dance studio