Question
Glen has a total of 450 stamps for singapore, Malaysia and China. 52% of his stamps are Singapore stamps. The ratio of the number of China stamps to the number of Malaysia stamps is 3:5.
(A) How many Singapore stamps does Glen have?
(B) What percentage of his stamps are Malaysia stamps?
(A) How many Singapore stamps does Glen have?
(B) What percentage of his stamps are Malaysia stamps?
Answers
GPT 3.5
(A)
Let x be the number of Singapore stamps Glen has.
52% of his stamps are Singapore stamps, so 0.52 * 450 = x
x = 0.52 * 450
x = 234
Glen has 234 Singapore stamps.
(B)
Let y be the number of Malaysia stamps Glen has and z be the number of China stamps Glen has.
The ratio of the number of China stamps to the number of Malaysia stamps is 3:5, so z/y = 3/5
z = 3/5 * y
Since Glen has a total of 450 stamps:
x + y + z = 450
234 + y + 3/5y = 450
234 + 1.6y = 450
1.6y = 216
y = 135
Glen has 135 Malaysia stamps.
Therefore, the percentage of his stamps that are Malaysia stamps is:
(135/450) * 100% = 30%
Glen has 30% Malaysia stamps.
Let x be the number of Singapore stamps Glen has.
52% of his stamps are Singapore stamps, so 0.52 * 450 = x
x = 0.52 * 450
x = 234
Glen has 234 Singapore stamps.
(B)
Let y be the number of Malaysia stamps Glen has and z be the number of China stamps Glen has.
The ratio of the number of China stamps to the number of Malaysia stamps is 3:5, so z/y = 3/5
z = 3/5 * y
Since Glen has a total of 450 stamps:
x + y + z = 450
234 + y + 3/5y = 450
234 + 1.6y = 450
1.6y = 216
y = 135
Glen has 135 Malaysia stamps.
Therefore, the percentage of his stamps that are Malaysia stamps is:
(135/450) * 100% = 30%
Glen has 30% Malaysia stamps.