before touring tropical blooms botanical garden, trent bought a pack of 100 cards showing highlights of the…

before touring tropical blooms botanical garden, trent bought a pack of 100 cards showing highlights of the garden along with fun facts so he could learn more about the plants he would be seeing. he randomly drew some cards out of the deck and got 4 moss, 3 fern, 7 conifer, and 7 flower cards. based on the data, estimate how many fern cards are in the deck. if necessary, round your answer to the nearest whole number. fern cards

before touring tropical blooms botanical garden, trent bought a pack of 100 cards showing highlights of the garden along with fun facts so he could learn more about the plants he would be seeing. he randomly drew some cards out of the deck and got 4 moss, 3 fern, 7 conifer, and 7 flower cards. based on the data, estimate how many fern cards are in the deck. if necessary, round your answer to the nearest whole number. fern cards

Answer

Explanation:

Step1: Calculate total drawn cards

$4 + 3+7 + 7=21$

Step2: Set up proportion

Let $x$ be the number of fern - cards in the deck. The proportion is $\frac{3}{21}=\frac{x}{100}$.

Step3: Solve the proportion

Cross - multiply: $21x = 3\times100$, so $21x=300$. Then $x=\frac{300}{21}\approx14.29$.

Step4: Round the result

Rounding $14.29$ to the nearest whole number gives $14$.

Answer:

$14$