Seth has a total of 48 of purple and gold markers.
13 of the purple markers and half of the gold markers are new. How many of his gold markers are new if he has a total of 18 new markers?
| |
Purple markers |
Gold markers |
Total |
| Total |
3 u |
2 p |
48 |
| New |
1 u |
1 p |
18 |
| Old |
2 u |
1 p |
30 |
Number of old markers
= 48 - 18
= 30
1 u + 1 p = 18 --- (1)
2 u + 1 p = 30 --- (2)
(2) - (1)
(2 u + 1 p) - (1 u + 1 p) = 30 - 18
2 u - 1 u = 12
1 u = 12
1 u = 12 ÷ 1 = 12
Number of new gold markers
= 18 - 1 u
= 18 - 12
= 6
Answer(s): 6
