Question

Ava Ethan and Elijah had a challenge to see who could bike the farthest in one day Ava biked 15 miles Ethan biked 3 times as many as Elijah and Elijah biked 2 times as many as Ava how many miles did Ethan bike

Answer 1

We shall label the three bikers as follows;

Ava = v

Ethan = t

Elijah = j

If Ava biked for 15 miles, then we have

v = 15

If Elijah biked two times as many as Ava, then we have

j = 2 times v

j = 2v

If Ethan biked three times as many as Elijah, then we have

t = 3 times j

t = 3 times 2v

t = 6v

We can now establish the following;

`\begin{gathered} \text{If } \\ v=15,\text{ then} \\ j=2v \\ j=2(15) \\ j=30 \\ t=6v \\ t=6(15) \\ t=90 \end{gathered}`

Where Ethan is represented by the variable t, we have now calculated that Ethan biked for 90 miles