Question

Lucas and Mike went on a holiday with the same amount of money.

Each day, Lucas spent $260 while Mike spent $180. At the end of their holiday,
Lucas had $240 left while Mike had $720 left. How many days were they on holiday?

Answer 1

Let's represent the number of days they were on holiday with the variable "d".

We know that Lucas spent $260 per day and ended up with $240 left. Therefore, he spent a total of:

$260d + $240 = $260d - $(-$240) = $260d - $(-240)

We can also represent the amount spent by Mike as:

$180d + $720 = $180d + $720 - $0

We know from the problem that both of them started with equal amounts of money, so we can set these two expressions equal to each other:

$260d - $(-240) = $180d + $720 - $0

Simplifying this expression, we get:

$260d + $240 = $180d + $720

Subtracting $180d from both sides gives:

$80d + $240 = $720

Subtracting $240 from both sides gives:

$80d = $480

Dividing by 80 gives:

d = 6

Therefore, Lucas and Mike were on holiday for 6 days.