Poppy is solving a 1000-piece jigsaw puzzle. She places a quarter of the pieces on the board, then her mom places a third of the remaining pieces. How many jigsaw pieces are left to be placed?
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Step-by-Step Solution
Step 1: Calculate pieces Poppy placed
First, we need to find out how many pieces Poppy placed. The total number of pieces is 1000, and Poppy placed a quarter of them. We calculate this by multiplying the total pieces by the fraction 41.
Step 2: Calculate remaining pieces after Poppy
After Poppy placed her share, we determine the number of pieces left by subtracting the pieces she placed from the total number of pieces. This gives us the new total from which her mom will place some pieces.
Step 3: Calculate pieces Poppy's mom placed
Next, Poppy's mom places a third of the *remaining* pieces. We multiply the number of pieces remaining after Poppy's turn by 31 to find out how many pieces her mom placed.
Step 4: Calculate final remaining pieces
Finally, to find the number of jigsaw pieces left to be placed, we subtract the number of pieces Poppy's mom placed from the pieces that were remaining after Poppy's turn.