Jean, Lynn and Gem had lollipops in the ratio of 12 : 7 : 2. After Jean gave 45 lollipops to Lynn and Gem, the three of them had the same number of lollipops. Find the total number of lollipops the children had.
| |
Jean |
Lynn |
Gem |
Total |
| Before |
12 u |
7 u |
2 u |
21 u |
| Change |
- 45 |
+ 45 |
|
| After |
7 u |
7 u |
7 u |
21 u |
Total number of lollipops
= 12 u + 7 u + 2 u
= 21 u
Number of lollipops that each had in the end
= 21 u ÷ 3
= 7 u
Number of lollipops that Jean gave to Lynn and Gem
= 12 u - 7 u
= 5 u
5 u = 45
1 u = 45 ÷ 5 = 9
Total number of lollipops
= 21 u
= 21 x 9
= 189
Answer(s): 189
