Solve for Total: Finding Shop Inventory When 30% = Standard Issue Dolls

If 30% of the dolls in a toy shop are standard issue and the remaining 21 dolls are limited edition. How many dolls are there in the shop in total?

To solve this problem, follow these steps:

• Step 1: Define the total number of dolls in the toy shop as $x$.
• Step 2: Note that 30% of these dolls are standard issue, thus $0.30x$ are standard issue dolls.
• Step 3: Since 70% of the dolls are limited edition (as standard and limited edition must account for 100% of the shop's dolls), $0.70x$ would be limited edition dolls.
• Step 4: Set up the equation: $0.70x = 21$, since we know the exact count of limited edition dolls is 21.
• Step 5: Solve for $x$ by dividing both sides of the equation by 0.70:

Therefore, the total number of dolls in the shop is $30$.