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:
\begin{align*}
0.70x &= 21 \\
x &= \frac{21}{0.70} \\
x &= 30
\end{align*}
Therefore, the total number of dolls in the shop is 30.