Sarah used 55 % of her savings to buy a game. She has $135 remaining. How much was her savings before buying the game ? Pls show me the working and the answer thank q
she spent 55%, so 45% remains. If she started with x, then
0.45x = 135
x = 135/0.45 = 300
What grade level is this problem ?
To find out how much Sarah's savings were before buying the game, we need to work backwards from the remaining amount she has.
Step 1: Calculate the amount Sarah spent on the game.
Since Sarah used 55% of her savings to buy the game, she spent 100% - 55% = 45% of her savings.
Let's represent Sarah's savings as "x," then we can calculate the amount she spent on the game as (45/100) * x.
Step 2: Calculate the remaining amount after buying the game.
We are given that Sarah has $135 remaining. Thus, (45/100) * x = $135.
Step 3: Solve for x.
To find x, we need to isolate it on one side of the equation. Divide both sides of the equation by (45/100) to cancel out the multiplication.
(45/100) * x = $135
x = $135 / (45/100)
Step 4: Calculate the value of x.
Simplify the equation:
x = $135 * (100/45)
x = $300
Therefore, Sarah's savings before buying the game were $300.