Question

Raj and Sammy had a total of $392. Sammy had 3 times as much as Raj.Sammy spent $38 on a pair of shoes. How much money did Sammy have left?

Answer 1

Sammy has 3 times as much money as Raj,Sammy initially had $294. After spending $38 on shoes, she was left with $256.

Step-by-step explanation:

The question involves a basic algebra problem where Raj and Sammy have a total of $392, and Sammy has 3 times as much money as Raj. To determine the amount of money Sammy had left after spending $38, we need to first set up an equation to find out how much money Sammy had initially.

Let R be the amount Raj had, then Sammy would have 3R. Combined, they have R + 3R = 4R which equals to $392. From this equation, we can determine that R, the amount Raj had, is $98, and therefore, Sammy had 3R which means she had $294. After spending $38 on a pair of shoes, Sammy would have $294 - $38 = $256 left.

Step-by-step solution:

1. Let R represent the amount of money Raj has.
2. Then Sammy has 3R, which means 3 times Raj's amount.
3. Together, R + 3R = 4R = $392.
4. Solve for R: R = $392 / 4 = $98.
5. Sammy's original amount is 3 * $98 = $294.
6. Sammy spends $38 on shoes, so she has $294 - $38 = $256 left.