80.0k views
1 vote
Sylvia walked​ 3/4 ​mi east from her house to the bank. Then she walked 1/3 ​mi west to a gift shop. From the gift shop, she walked​ 1/4 ​mi west to a grocery store. How far is the grocery store from Sylvia's house?

2 Answers

1 vote

Answer:

your answer to this problem is 1/6

Step-by-step explanation:

User Negro
by
6.7k points
4 votes

Solution:

The grocery store is 1/6 miles far from her house.

Step-by-step explanation:

We have been given that Sylvia walked​ 3/4 ​mi east from her house to the bank. Hence, the distance between the house and the bank is 3/4 miles.

Now, she walked 1/3 ​mi west to a gift shop. It means that she moved 1/3 miles towards her house.

Also, from the gift shop, she walked​ 1/4 ​mi west to a grocery store. It means she moved 1/3 miles plus 1/4 miles towards her house.

Hence, the distance between the grocery store and the house is


(3)/(4)-\left ( (1)/(3)+(1)/(4) \right )\\\\=(3)/(4)-(1)/(3)-(1)/(4) \\\\ =(1)/(6)



User David Mihal
by
6.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.