Anna and Olivia had an equal number of coins at first. Anna used
12 of her coins and Olivia used
19 of her coins. They used 110 coins altogether. How many coins did Olivia have in the end?
|
Anna |
Olivia |
Before |
2x9 = 18 u |
9x2 = 18 u |
Change |
- 1x9 = - 9 u |
- 1x2 = - 2 u |
After |
1x9 = 9 u |
8x2 = 16 u |
The number of coins that Anna and Olivia each had at first is the same. Make the number of coins that Anna and Olivia each had at first the same. LCM of 2 and 9 is 18.
Number of coins that Anna and Olivia used
= 9 u + 2 u
= 11 u
11 u = 110
1 u = 110 ÷ 11 = 10
Number of coins that Olivia had in the end
= 16 u
= 16 x 10
= 160
Answer(s): 160