Fabian has a total of 36 of gold and purple markers.
16 of the gold markers and half of the purple markers are new. How many of his purple markers are new if he has a total of 8 new markers?
| |
Gold markers |
Purple markers |
Total |
| Total |
6 u |
2 p |
36 |
| New |
1 u |
1 p |
8 |
| Old |
5 u |
1 p |
28 |
Number of old markers
= 36 - 8
= 28
1 u + 1 p = 8 --- (1)
5 u + 1 p = 28 --- (2)
(2) - (1)
(5 u + 1 p) - (1 u + 1 p) = 28 - 8
5 u - 1 u = 20
4 u = 20
1 u = 20 ÷ 4 = 5
Number of new purple markers
= 8 - 1 u
= 8 - 5
= 3
Answer(s): 3
