Rachel had 12 more lollipops than Jack at first. After Jack had eaten 16 of his lollipops, Rachel had 5 times as many lollipops as Jack. How many lollipops did Rachel and Jack have in total at first?
| |
Rachel |
Jack |
Total |
| Before |
1 u + 16 + 12 |
1 u + 16 |
6 u + 16 |
| Change |
|
- 16 |
|
| After |
5 u |
1 u |
|
The number of lollipops that Rachel had at first remains unchanged.
5 u = 1 u + 16 + 12
5 u - 1 u = 28
4 u = 28
1 u = 28 ÷ 4 = 7
Number of lollipops that they had at first
= 6 u + 16
= 6 x 7 + 16
= 42 + 16
= 58
Answer(s): 58
