Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Discover detailed solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

PLEASE HELP The ratio of boots to sandals in a shoe store is 8:3. If there are 245 more boots that sandals in the store, how many boots are there?

Sagot :

naǫ
x - the number of boots
y - the number of sandals

The ratio of boots to sandals is 8:3.
[tex]\frac{x}{y}=\frac{8}{3} \\ 8y=3x \\ y=\frac{3}{8}x[/tex]

There are 245 more boots than sandals.
[tex]y+245=x \\ y=x-245 \\ \\ y=y \\ \frac{3}{8}x=x-245 \\ \frac{3}{8}x-x=-245 \\ \frac{3}{8}x-\frac{8}{8}x=-245 \\ -\frac{5}{8}x=-245 \\ x=-245 \times (-\frac{8}{5}) \\ x=49 \times 8 \\ x=392[/tex]

There are 392 boots.
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.