Max was on vacation twice as long as Jared and half as longas Wesley. The boys were on vacation a total of 3 weeks. How many days was each boy on vacation?

Make an equation.

Also, convert 3 weeks into days ⇒ 3 · 7 = 21 days.

x + 2x + 4x = 21

x is Jared.

2x is Max (because half of 4 is 2).

4x is Wesley.

Now solve the equation.

7x = 21

x = 3

Jared = x

Max = 2x

Wesley = 4x

Jared = 3 days

Max = 2 (3) = 6 days

Wesley = 4 (3) = 12 days