Diana had 16 more lollipops than Tim at first. After Tim had eaten 16 of his lollipops, Diana had 5 times as many lollipops as Tim. How many lollipops did Diana and Tim have in total at first?
|
Diana |
Tim |
Total |
Before |
1 u + 16 + 16 |
1 u + 16 |
6 u + 16 |
Change |
|
- 16 |
|
After |
5 u |
1 u |
|
The number of lollipops that Diana had at first remains unchanged.
5 u = 1 u + 16 + 16
5 u - 1 u = 32
4 u = 32
1 u = 32 ÷ 4 = 8
Number of lollipops that they had at first
= 6 u + 16
= 6 x 8 + 16
= 48 + 16
= 64
Answer(s): 64