sam spent 2/5 of amount he had on clothes. He spent 1/6th of remaining on food. of the remaining amount he spent on transport.He was then left with $132. Find his initial amount.
I think you are missing part of the phrase
"... of the remaining amount he spent on transport."
fill it in and come on back.
To find Sam's initial amount, we can work backward from the given information.
Let's assume Sam's initial amount was x dollars.
First, Sam spent 2/5 of his initial amount on clothes. This means he had 3/5 of his initial amount left, which is (3/5)x dollars.
Next, Sam spent 1/6 of the remaining amount on food. This means he had 5/6 of (3/5)x dollars left after buying food, which is (5/6)(3/5)x = (15/30)x = (1/2)x dollars.
Finally, Sam spent the remaining amount on transportation and was left with $132. This means (1/2)x dollars is equal to $132.
To find x, we can set up the equation:
(1/2)x = $132
To solve for x, we can multiply both sides of the equation by 2:
x = 2 * $132
x = $264
Therefore, Sam's initial amount was $264.