In a store, the number of pencils was
23 of the total number of pencils and rulers together. Ryan sold the pencils and rulers in sets of 4 pencils and 8 rulers. After selling all the rulers, he still had 36 pencils left. How many pencils were in the store at first?
| |
Pencils |
Rulers |
| Before |
2x8 =
16 u |
1x8 =
8 u |
| Change |
- 4x1 =
- 4 u |
- 8x1 =
- 8 u |
| After |
36 |
0 |
Since all the rulers were sold, the number of rulers at first and the number of rulers sold were the same. Make the number of rulers at first and sold the same. LCM of 1 and 8 is 8.
Number of pencils sold
= 16 u - 4 u
= 12 u
12 u = 36
1 u = 36 ÷ 12 = 3
Number of pencils at first
= 16 u
= 16 x 3
= 48
Answer(s): 48
