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?
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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:
Therefore, the total number of dolls in the shop is .
30
Solve for X:
\( 3x=18 \)
Because we know the count of limited edition dolls (21), not standard issue dolls! The 30% represents standard dolls, but we need to use the percentage that matches our known quantity.
Always match the given number with its corresponding percentage. Since 21 dolls are limited edition, and limited edition = 100% - 30% = 70%, use 0.70x = 21.
Then you'd use the 30%! If 9 dolls were standard issue, your equation would be 0.30x = 9, giving the same answer of x = 30 total dolls.
Yes! You can write or even . Then multiply both sides by the reciprocal to solve.
Calculate both parts: 30% of 30 = 9 standard dolls and 70% of 30 = 21 limited dolls. Since 9 + 21 = 30 total, your answer checks out!
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