Question

Amin, Barb, and Curt collected seashells in the ratio of 10: 12: 7. Cult collected 98 seashells. How many seashells did they collect together.

Answer 1

They collect together
`406\ seashells`

Explanation:

Let

x-----> number of seashells collected by Amin

y-----> number of seashells collected by Barb

z-----> number of seashells collected by Curt

we know that

`(x)/(y)=(10)/(12)`

`x=(10)/(12)y` ------> equation A

`(x)/(z)=(10)/(7)`

`x=(10)/(7)z` ------> equation B

`(y)/(z)=(12)/(7)`

`y=(12)/(7)z` ------> equation C

In this problem we have

`z=98\ seashells`

Find the value of x ------> equation B

substitute the value of z

`x=(10)/(7)(98)=140\ seashells`

Find the value of y ------> equation C

substitute the value of z

`y=(12)/(7)(98)=168\ seashells`

therefore

They collect together

`x+y+z=140+168+98=406\ seashells`