John, Alana, and Jesus are sharing a bag of candy in the extended ratio 2 colon 3 colon 4. If there are 63 candies in the bag, then how many will Alana get?
(1 point)
Responses
7
7 - no response given
14
14 - no response given
21
21 - no response given
28
To find out how many candies Alana will get, we need to find the fraction of the total that corresponds to her share in the ratio.
The extended ratio has three parts: 2, 3, and 4.
To find the fraction corresponding to Alana's share, we need to add up all three parts of the ratio and divide Alana's part by the total:
2 + 3 + 4 = 9.
Alana's part of the ratio is 3. So her fraction of the total is:
3/9 = 1/3.
If there are 63 candies in the bag, Alana will get:
(1/3) * 63 = 21.
Therefore, Alana will get 21 candies. Answer: 21.