Question

fernando and Arthur have 64 rocks together Arthur has three times as many rocks as Fernando. how many rocks are in Arthur's collection? how many rocks are in Fernando's collection? ​

Answer 1

Let's start by setting up a system of equations based on the given information:

A + F = 64 (equation 1)

A = 3F (equation 2)

where A is the number of rocks in Arthur's collection and F is the number of rocks in Fernando's collection.

We can use equation 2 to substitute A in equation 1:

3F + F = 64

Simplifying, we get:

4F = 64

Dividing both sides by 4, we get:

F = 16

So Fernando has 16 rocks. To find the number of rocks in Arthur's collection, we can substitute this value into equation 2:

A = 3(16)

Simplifying, we get:

A = 48

So Arthur has 48 rocks.