Question
Terrence, shannon and kate share $72y in the ratio 7:2:3.
(A) How much is kate share of the money?
(B) How much more money does terence have than shannon and kate?
(A) How much is kate share of the money?
(B) How much more money does terence have than shannon and kate?
Answers
GPT 3.5
(A) To find out how much Kate's share of the money is, we first need to calculate the total number of parts in the ratio, which is 7 + 2 + 3 = 12 parts.
Next, we need to find the value of each part, which is $72y divided by 12 = $6y per part.
Kate's share is 3 parts, so her share is 3 * $6y = $18y.
Therefore, Kate's share of the money is $18y.
(B) Terrence's share is 7 parts, Shannon's share is 2 parts, and Kate's share is 3 parts.
Terrence has 7 parts - (2 parts + 3 parts) = 2 parts more than Shannon and Kate combined.
So, Terrence has $6y * 2 = $12y more than Shannon and Kate combined.
Next, we need to find the value of each part, which is $72y divided by 12 = $6y per part.
Kate's share is 3 parts, so her share is 3 * $6y = $18y.
Therefore, Kate's share of the money is $18y.
(B) Terrence's share is 7 parts, Shannon's share is 2 parts, and Kate's share is 3 parts.
Terrence has 7 parts - (2 parts + 3 parts) = 2 parts more than Shannon and Kate combined.
So, Terrence has $6y * 2 = $12y more than Shannon and Kate combined.