Question

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?

Answer 1

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

The ratio of boots to sandals is 8:3.

`(x)/(y)=(8)/(3) \\ 8y=3x \\ y=(3)/(8)x`

There are 245 more boots than sandals.

`y+245=x \\ y=x-245 \\ \\ y=y \\ (3)/(8)x=x-245 \\ (3)/(8)x-x=-245 \\ (3)/(8)x-(8)/(8)x=-245 \\ -(5)/(8)x=-245 \\ x=-245 * (-(8)/(5)) \\ x=49 * 8 \\ x=392`

There are 392 boots.