Elijah has a total of 46 of gold and blue pencils.
14 of the gold pencils and half of the blue pencils are new. How many of his blue pencils are new if he has a total of 17 new pencils?
| |
Gold pencils |
Blue pencils |
Total |
| Total |
4 u |
2 p |
46 |
| New |
1 u |
1 p |
17 |
| Old |
3 u |
1 p |
29 |
Number of old pencils
= 46 - 17
= 29
1 u + 1 p = 17 --- (1)
3 u + 1 p = 29 --- (2)
(2) - (1)
(3 u + 1 p) - (1 u + 1 p) = 29 - 17
3 u - 1 u = 12
2 u = 12
1 u = 12 ÷ 2 = 6
Number of new blue pencils
= 17 - 1 u
= 17 - 6
= 11
Answer(s): 11
